Finite Group Databasebeta

← #30566580

Subgroups — #30566580

Order 15616.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460098C211yesmaximal, characteristic, complemented
2#21459487C211yesmaximal, characteristic, complemented
3#21458157C211yesmaximal, characteristic, complemented
4#21458080C211yesmaximal, characteristic, complemented
5#21458053C211yesmaximal, characteristic, complemented
6#21458015C211yesmaximal, characteristic, complemented
7#21457902C211yesmaximal, characteristic, complemented
8#21457890C211yesmaximal, characteristic, complemented
9#21457846C211yesmaximal, characteristic, complemented
10#21457818C211yesmaximal, characteristic, complemented
11#21457479C211yesmaximal, characteristic, complemented
12#21457471C211yesmaximal, characteristic, complemented
13#21457451C211yesmaximal, characteristic, complemented
14#21457412C211yesmaximal, characteristic, complemented
15#21457374C211yesmaximal, characteristic, complemented
16#21457332C211yesmaximal, characteristic, complemented
17#21457313C211yesmaximal, characteristic, complemented
18#21456908C211yesmaximal, characteristic, complemented
19#21456890C211yesmaximal, characteristic, complemented
20#21456718C211yesmaximal, characteristic, complemented
21#21456694C211yesmaximal, characteristic, complemented
22#21456628C211yesmaximal, characteristic, complemented
23#21456623C211yesmaximal, characteristic, complemented
24#21456080C211yesmaximal, characteristic, complemented
25#21456031C211yesmaximal, characteristic, complemented
26#21455119C211yesmaximal, characteristic, complemented
27#21455093C211yesmaximal, characteristic, complemented
28#21455075C211yesmaximal, characteristic, complemented
29#21455057C211yesmaximal, characteristic, complemented
30#21454878C211yesmaximal, characteristic, complemented
31C61×#3271C211yesmaximal, characteristic, complemented
32C2×#14519823C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519808C2211yescharacteristic, complemented
36C2×#14519806C2211yescharacteristic, complemented
37C2×#14519802C2211yescharacteristic, complemented
38C2×#14519801C2211yescharacteristic, complemented
39C2×SD16×D61C2211yescharacteristic, complemented
40#16840513—21no—
41#16840506—21no—
42#16840485C2211yescharacteristic, complemented
43#16840471—21no—
44#16840469C2211yescharacteristic, complemented
45#16840464C2211yescharacteristic, complemented
46#16840455—21no—
47#16840454C2211yescharacteristic, complemented
48#16840431C2211yescharacteristic
49Q8×C22⋊D61C2211yescharacteristic, complemented
50#16840424C2211yescharacteristic
51#16840420C2211yescharacteristic, complemented
52#16840419C2211yescharacteristic
53#16840411C2211yescharacteristic, complemented
54#16840409—21no—
55#16840409C2211yescharacteristic
56#16840408—21no—
57#16840408C2211yescharacteristic
58#16840397—21no—
59#16840397C2211yescharacteristic
60#16840396—21no—
61#16840396C2211yescharacteristic
62#16840381C2211yescharacteristic, complemented
63#16840376—21no—
64#16840370C2211yescharacteristic, complemented
65#16840361—21no—
66#16840349—21no—
67#16840345—21no—
68#16840341—21no—
69#16840341C2211yescharacteristic
70#16840340C2211yescharacteristic, complemented
71#16840335C2211yescharacteristic, complemented
72#16840325—21no—
73#16840325C2211yescharacteristic
74#16840272C2211yescharacteristic, complemented
75#16840271—21no—
76#16840271C2211yescharacteristic
77C2×#14519753C2211yescharacteristic, complemented
78#121×D61—21no—
79#121×D61C2211yescharacteristic
80#16840244C2211yescharacteristic
81#16840153C2211yescharacteristic, complemented
82#16840144C2211yescharacteristic, complemented
83#16840133C2211yescharacteristic, complemented
84#16840125C2211yescharacteristic, complemented
85#16840122C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic, complemented
87#16840108C2211yescharacteristic, complemented
88#16840106C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic, complemented
96#16840076C2211yescharacteristic, complemented
97#16840074C2211yescharacteristic, complemented
98#16840073C2211yescharacteristic, complemented
99#16840073C2211yescharacteristic, complemented
100#16840071C2211yescharacteristic, complemented
101#16840061C2211yescharacteristic, complemented
102#16840057C2211yescharacteristic, complemented
103#16840043C2211yescharacteristic, complemented
104#16840018C2211yescharacteristic, complemented
105#16840013C2211yescharacteristic, complemented
106#16840011C2211yescharacteristic, complemented
107#16840011C2211yescharacteristic, complemented
108#16840008C2211yescharacteristic, complemented
109#16840007C2211yescharacteristic, complemented
110#16840006C2211yescharacteristic, complemented
111#16840006C2211yescharacteristic, complemented
112#16840005C2211yescharacteristic, complemented
113#16840005C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16840003C2211yescharacteristic, complemented
116#16840002C2211yescharacteristic, complemented
117#16839995C2211yescharacteristic, complemented
118#16839985C2211yescharacteristic, complemented
119#16839984C2211yescharacteristic, complemented
120#16839982C2211yescharacteristic, complemented
121#16839975C2211yescharacteristic, complemented
122#16839974C2211yescharacteristic, complemented
123#16839970C2211yescharacteristic, complemented
124#16839966C2211yescharacteristic, complemented
125#16839960C2211yescharacteristic, complemented
126#16839959C2211yescharacteristic, complemented
127#16839955C2211yescharacteristic, complemented
128#16839927C2211yescharacteristic
129#16839926C2211yescharacteristic, complemented
130#16839925C2211yescharacteristic, complemented
131#16839924C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839924C2211yescharacteristic, complemented
134#16839923C2211yescharacteristic
135#16839923C2211yescharacteristic
136#16839923C2211yescharacteristic, complemented
137#16839921C2211yescharacteristic, complemented
138#16839921C2211yescharacteristic, complemented
139#16839919C2211yescharacteristic, complemented
140#16839916C2211yescharacteristic, complemented
141#16839916C2211yescharacteristic, complemented
142#16839915C2211yescharacteristic, complemented
143#16839914C2211yescharacteristic, complemented
144#16839912C2211yescharacteristic, complemented
145#16839911C2211yescharacteristic, complemented
146#16839911C2211yescharacteristic, complemented
147#16839911C2211yescharacteristic, complemented
148#16839911C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic, complemented
150#16839908C2211yescharacteristic, complemented
151#16839906C2211yescharacteristic
152#16839906C2211yescharacteristic, complemented
153#16839905C2211yescharacteristic, complemented
154#16839904C2211yescharacteristic, complemented
155#16839904C2211yescharacteristic, complemented
156#16839901C2211yescharacteristic, complemented
157#16839899C2211yescharacteristic, complemented
158#16839894C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic, complemented
160#16839865C2211yescharacteristic, complemented
161#16839864C2211yescharacteristic, complemented
162#16839863C2211yescharacteristic, complemented
163Q16×Dic61C2211yescharacteristic, complemented
164C4×#11758202C2211yescharacteristic, complemented
165C4×#11758201C2211yescharacteristic, complemented
166#16839842C2211yescharacteristic, complemented
167#16839840C2211yescharacteristic, complemented
168#16839839C2211yescharacteristic, complemented
169#16839838C2211yescharacteristic, complemented
170#16839837C2211yescharacteristic, complemented
171#16839836C2211yescharacteristic, complemented
172#16839835C2211yescharacteristic, complemented
173#16839833C2211yescharacteristic, complemented
174#16839824C2211yescharacteristic, complemented
175#16839822C2211yescharacteristic, complemented
176#16839769C2211yescharacteristic, complemented
177#16839765C2211yescharacteristic, complemented
178#16839765C2211yescharacteristic, complemented
179#16839764C2211yescharacteristic, complemented
180#16839763C2211yescharacteristic, complemented
181#16839763C2211yescharacteristic, complemented
182#16839757C2211yescharacteristic, complemented
183C2×#14519699C2211yescharacteristic, complemented
184#16839728C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186#16839725C2211yescharacteristic, complemented
187#16839724C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C2×#135×C61C2211yescharacteristic, complemented
190C61×#550C2211yescharacteristic
191C61×#548C2211yescharacteristic, complemented
192C61×#496C2211yescharacteristic, complemented
193C61×#469C2211yescharacteristic, complemented
194C61×#465C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#449C2211yescharacteristic, complemented
199C61×#449C2211yescharacteristic, complemented
200C61×#448C2211yescharacteristic, complemented
201C61×#441C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic, complemented
203#14519823—42no—
204#14519823—42no—
205C2×#11758226C2311yescharacteristic
206C2×#11758226C2311yescharacteristic
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758224—21no—
212C2×#11758224C2311yescharacteristic
213C2×#11758224C2311yescharacteristic
214#41×D61—42no—
215#41×D61—42no—
216C2×Q8×D61C2311yescharacteristic
217C2×Q8×D61C2311yescharacteristic
218C22×D244—21no—
219C22×D244C2311yescharacteristic
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61C2311yescharacteristic
227C2×D4×D61C2311yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C22×C4×D61—21no—
230C22×C4×D61C2311yescharacteristic
231#14519809—42no—
232#14519808—42no—
233#14519806—42no—
234#14519802—42no—
235#14519801—42no—
236C2×Dic244C2311yescharacteristic
237C2×#11758202C2311yescharacteristic
238C2×#11758202C2311yescharacteristic
239C2×#11758202C2311yescharacteristic
240C2×#11758190C2311yescharacteristic
241C2×#11758190C2311yescharacteristic
242C2×#11758200C2311yescharacteristic
243C2×#11758200C2311yescharacteristic
244C2×#11758200C2311yescharacteristic
245C2×#11758201C2311yescharacteristic
246C2×#11758201C2311yescharacteristic
247C2×#11758201C2311yescharacteristic
248C2×#11758201C2311yescharacteristic
249SD16×D61—42no—
250C2×#11758199C2311yescharacteristic
251C2×#11758199C2311yescharacteristic
252C2×#11758194C2311yescharacteristic
253C2×#11758194C2311yescharacteristic
254C2×#11758189C2311yescharacteristic
255C2×#11758189C2311yescharacteristic
256C2×#11758189C2311yescharacteristic
257C2×C8×D61C2311yescharacteristic
258#14519777C2311yescharacteristic
259#14519776—21no—
260#14519775—21no—
261#14519775C2311yescharacteristic
262#14519773—21no—
263#14519773C2311yescharacteristic
264#14519772—21no—
265#14519772—21no—
266#14519772—21no—
267#14519772—21no—
268#14519771—21no—
269#14519770—21no—
270#14519770—21no—
271#14519769—21no—
272#14519768—21no—
273#14519768—21no—
274#14519768C2311yescharacteristic
275#14519767—21no—
276#14519765—21no—
277#14519765—21no—
278#14519765C2311yescharacteristic
279#14519764—21no—
280#14519764C2311yescharacteristic
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762D411yescharacteristic
287#14519761—21no—
288#14519761—21no—
289#14519761—21no—
290#14519760—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759D411yescharacteristic
295#14519758—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519757C2311yescharacteristic
299#14519756—21no—
300#14519756—21no—
301#14519756—21no—
302#14519756C2311yescharacteristic
303#14519756C2311yescharacteristic
304#14519756C2311yescharacteristic
305#14519755D411yescharacteristic
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754D411yescharacteristic
312#14519753—21no—
313#14519753—21no—
314#14519753—21no—
315#14519753C2311yescharacteristic
316#14519753C2311yescharacteristic
317#14519753C2311yescharacteristic
318#14519753C2311yescharacteristic
319#14519753C2311yescharacteristic
320#14519752—21no—
321#14519752C2311yescharacteristic
322#14519751—21no—
323#14519751—21no—
324#14519751C2311yescharacteristic
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750D411yescharacteristic
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519749—21no—
337#14519749—21no—
338#14519749—21no—
339#14519749D411yescharacteristic
340#14519748—21no—
341#14519748—21no—
342#14519748—21no—
343#14519748—21no—
344#14519748—21no—
345#14519748C2311yescharacteristic
346#14519748C2311yescharacteristic
347#14519748C2311yescharacteristic
348#14519748C2311yescharacteristic
349#14519747—21no—
350#14519747D411yescharacteristic
351#14519745—21no—
352#14519745—21no—
353#14519745—21no—
354#14519745—21no—
355#14519745—21no—
356#14519745—21no—
357#14519745—21no—
358#14519745—21no—
359#14519745D411yescharacteristic
360Q8×Dic61C2311yescharacteristic
361Q8×Dic61C2311yescharacteristic
362C4×Dic122—21no—
363C4×Dic122C2311yescharacteristic
364C4×D244—21no—
365C4×D244—21no—
366C4×D244C2311yescharacteristic
367C4×D244C2311yescharacteristic
368D4×Dic61—21no—
369D4×Dic61—21no—
370D4×Dic61—21no—
371D4×Dic61C2311yescharacteristic
372#14519739—21no—
373#14519739C2311yescharacteristic
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376C4×C22⋊D61—21no—
377C4×C22⋊D61C2311yescharacteristic
378C4×C22⋊D61C2311yescharacteristic
379#14519737—21no—
380#14519737—21no—
381#14519735C2311yescharacteristic
382#14519735C2311yescharacteristic
383#14519734—21no—
384#14519734C2311yescharacteristic
385#14519733—21no—
386C2×C4⋊Dic61C2311yescharacteristic
387C2×C4⋊Dic61C2311yescharacteristic
388C2×#11758196—21no—
389C2×#11758196—21no—
390C4⋊C4×D61—21no—
391C4⋊C4×D61C2311yescharacteristic
392C2×#11758198—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396#14519711C2311yescharacteristic
397#14519711C2311yescharacteristic
398#14519711C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519710C2311yescharacteristic
401#14519710C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519687C2311yescharacteristic
443C4×#92418C2311yescharacteristic
444C8×Dic61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×#41×C61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×Q8×C61C2311yescharacteristic
449#137×C61—42no—
450#135×C61—42no—
451C2×Q16×C61C2311yescharacteristic
452C2×Q16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×SD16×C61C2311yescharacteristic
455C2×SD16×C61C2311yescharacteristic
456C2×SD16×C61C2311yescharacteristic
457C2×SD16×C61C2311yescharacteristic
458C2×D8×C61C2311yescharacteristic
459C2×D8×C61C2311yescharacteristic
460C2×M16×C61C2311yescharacteristic
461C22×C8×C61C2311yescharacteristic
462#127×C61—21no—
463#127×C61C2311yescharacteristic
464#124×C61—21no—
465#124×C61C2311yescharacteristic
466C22⋊Q8×C61—21no—
467C22⋊Q8×C61C2311yescharacteristic
468#121×C61—21no—
469#121×C61—21no—
470#121×C61—21no—
471#121×C61C2311yescharacteristic
472#121×C61C2311yescharacteristic
473#121×C61C2311yescharacteristic
474C4×Q8×C61C2311yescharacteristic
475C4×Q8×C61C2311yescharacteristic
476C4×D4×C61—21no—
477C4×D4×C61—21no—
478C4×D4×C61C2311yescharacteristic
479#106×C61C2311yescharacteristic
480C4⋊C8×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489#97×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61C2×D411yescharacteristic
495#41×C61—22no—
496#41×C61—22no—
497#41×C61—41no—
498#41×C61—41no—
499#41×C61—41no—
500#41×C61—41no—
501C2×Q8×C61—21no—
502C2×Q8×C61—41no—
503C2×Q8×C61—41no—
504C2×Q8×C61C2411yescharacteristic
505C2×Q8×C61C2411yescharacteristic
506C2×Q8×C61C2411yescharacteristic
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—21no—
514C2×D4×C61—21no—
515C2×D4×C61C2×D411yescharacteristic
516C2×D4×C61C2411yescharacteristic
517C2×D4×C61C2411yescharacteristic
518C2×D4×C61C2411yescharacteristic
519C22×C4×C61—21no—
520C22×C4×C61—21no—
521C22×C4×C61—21no—
522C22×C4×C61—21no—
523C22×C4×C61C2411yescharacteristic
524C22×C4×C61C2411yescharacteristic
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61C2×D411yescharacteristic
539C2×C22⋊D61C2×D411yescharacteristic
540C2×C22⋊D61C2×D411yescharacteristic
541C2×C22⋊D61C2×D411yescharacteristic
542C22×Dic61—21no—
543C22×Dic61—21no—
544C22×Dic61—21no—
545C22×Dic61—21no—
546C22×Dic61—21no—
547C22×Dic61C2×D411yescharacteristic
548#11758226—22no—
549#11758226—22no—
550#11758226—22no—
551#11758226—41no—
552Q8×D61—22no—
553Q8×D61—41no—
554Q8×D61—41no—
555Q8×D61—41no—
556#11758224—41no—
557#11758224—41no—
558#11758224—41no—
559#11758224—41no—
560#11758224—44no—
561D4×D61—22no—
562D4×D61—22no—
563D4×D61—41no—
564D4×D61—41no—
565D4×D61—41no—
566D4×D61—41no—
567D4×D61—44no—
568D4×D61—44no—
569D4×D61—44no—
570D4×D61—82no—
571D4×D61—82no—
572D4×D61—82no—
573#11758222—22no—
574#11758222—41no—
575#11758222—41no—
576#11758222—41no—
577#11758222—44no—
578#11758222—44no—
579C2×D244—21no—
580C2×D244—22no—
581C2×D244—21no—
582C2×D244—21no—
583C2×D244—21no—
584C2×D244—41no—
585C2×D244—44no—
586C2×D244C2×D411yescharacteristic
587C2×D244C2×D411yescharacteristic
588C2×D244C2411yescharacteristic
589C2×D244C2411yescharacteristic
590C2×C4×D61—21no—
591C2×C4×D61—21no—
592C2×C4×D61—21no—
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—41no—
599C2×C4×D61—41no—
600C2×C4×D61—44no—
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2411yescharacteristic
604C2×C4×D61C2411yescharacteristic
605C2×C4×D61C2411yescharacteristic
606C2×Dic122—21no—
607C2×Dic122—21no—
608C2×Dic122—21no—
609C2×Dic122C2×D411yescharacteristic
610C2×Dic122C2411yescharacteristic
611C2×Dic122C2411yescharacteristic
612Q16×C61—22no—
613Q16×C61—22no—
614SD16×C61—22no—
615SD16×C61—41no—
616SD16×C61—41no—
617SD16×C61—41no—
618SD16×C61—41no—
619D8×C61—41no—
620D8×C61—41no—
621M16×C61—41no—
622C2×C8×C61—41no—
623C2×C8×C61C2411yescharacteristic
624C2×C8×C61C2411yescharacteristic
625C2×C8×C61C2411yescharacteristic
626C2×C8×C61C2411yescharacteristic
627C4⋊C4×C61—21no—
628C4⋊C4×C61—21no—
629C4⋊C4×C61—21no—
630C4⋊C4×C61C2×D411yescharacteristic
631C4⋊C4×C61C2411yescharacteristic
632C4⋊C4×C61C2411yescharacteristic
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61C2×D411yescharacteristic
640C22⋊C4×C61C2×D411yescharacteristic
641C42×C61—21no—
642C42×C61—21no—
643C42×C61C2411yescharacteristic
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61—21no—
652C22⋊Dic61—21no—
653C22⋊Dic61—21no—
654C22⋊Dic61C2×D411yescharacteristic
655C22⋊Dic61C2×D411yescharacteristic
656#11758202—22no—
657#11758202—41no—
658#11758202—41no—
659#11758201—22no—
660#11758201—22no—
661#11758201—41no—
662#11758201—41no—
663#11758200—41no—
664#11758200—41no—
665#11758200—41no—
666#11758199—22no—
667#11758199—41no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198C2×D411yescharacteristic
684#11758198C2×D411yescharacteristic
685#11758198C2×D411yescharacteristic
686#11758198C2×D411yescharacteristic
687#11758198C2×D411yescharacteristic
688#11758198C2×D411yescharacteristic
689C4⋊Dic61—21no—
690C4⋊Dic61—21no—
691C4⋊Dic61—21no—
692C4⋊Dic61—21no—
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61—21no—
696C4⋊Dic61—21no—
697C4⋊Dic61C2×D411yescharacteristic
698C4⋊Dic61C2411yescharacteristic
699C4⋊Dic61C2411yescharacteristic
700C4⋊Dic61C2411yescharacteristic
701C4⋊Dic61C2411yescharacteristic
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196—21no—
711#11758196—21no—
712#11758196—21no—
713#11758196—21no—
714#11758196—21no—
715#11758196C2×D411yescharacteristic
716#11758196C2×D411yescharacteristic
717#11758196C2×D411yescharacteristic
718#11758196C2×D411yescharacteristic
719C4×Dic61—21no—
720C4×Dic61—21no—
721C4×Dic61—21no—
722C4×Dic61—21no—
723C4×Dic61—21no—
724C4×Dic61C2411yescharacteristic
725#11758194—41no—
726#11758194—41no—
727C2×#92418C2411yescharacteristic
728C2×#92418C2411yescharacteristic
729C2×#92418C2411yescharacteristic
730C2×#92418C2411yescharacteristic
731Dic244—41no—
732#11758190—22no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736#11758189—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61C22×D411yescharacteristic
742C23×C61C22×D411yescharacteristic
743C22×D61—21no—
744C22×D61—21no—
745C22×D61—41no—
746C22×D61—41no—
747C22×D61—41no—
748C22×D61—42no—
749C22×D61—42no—
750C22×D61—42no—
751C22×D61—42no—
752C22×D61—42no—
753C22×D61—81no—
754C22×D61—81no—
755C22×D61—81no—
756C22×D61—81no—
757C22×D61—81no—
758C22×D61—81no—
759C22×D61—81no—
760C22×D61C22×D411yescharacteristic
761C22×D61C22×D411yescharacteristic
762C22×D61C22×D411yescharacteristic
763Q8×C61—21no—
764Q8×C61—21no—
765Q8×C61—21no—
766Q8×C61—21no—
767Q8×C61—21no—
768Q8×C61—81no—
769Q8×C61H(5,𝔽2)12yes—
770D4×C61—21no—
771D4×C61—21no—
772D4×C61—21no—
773D4×C61—21no—
774D4×C61—21no—
775D4×C61—21no—
776D4×C61—41no—
777D4×C61—42no—
778D4×C61—42no—
779D4×C61—42no—
780D4×C61—81no—
781D4×C61—81no—
782D4×C61—81no—
783D4×C61—81no—
784D4×C61—81no—
785C2×C4×C61—21no—
786C2×C4×C61—21no—
787C2×C4×C61—21no—
788C2×C4×C61—21no—
789C2×C4×C61—21no—
790C2×C4×C61—21no—
791C2×C4×C61—21no—
792C2×C4×C61—21no—
793C2×C4×C61—21no—
794C2×C4×C61—42no—
795C2×C4×C61—42no—
796C2×C4×C61—81no—
797C2×C4×C61—81no—
798C2×C4×C61C22×D411yescharacteristic
799C2×C4×C61C22×D411yescharacteristic
800C2×C4×C61C22×D411yescharacteristic
801C2×C4×C61C22×D411yescharacteristic
802C2×C4×C61C2511yescharacteristic
803C22⋊D61—41no—
804C22⋊D61—41no—
805C22⋊D61—41no—
806C22⋊D61—41no—
807C22⋊D61—42no—
808C22⋊D61—42no—
809C22⋊D61—42no—
810C22⋊D61—42no—
811C22⋊D61—42no—
812C22⋊D61—42no—
813C22⋊D61—81no—
814C22⋊D61—81no—
815C22⋊D61—81no—
816C22⋊D61—81no—
817C22⋊D61—81no—
818C22⋊D61—81no—
819C22⋊D61—81no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—41no—
827C2×Dic61—42no—
828C2×Dic61—81no—
829C2×Dic61—81no—
830C2×Dic61—81no—
831C2×Dic61—81no—
832C2×Dic61C22×D411yescharacteristic
833C2×Dic61C22×D411yescharacteristic
834C2×Dic61C22×D411yescharacteristic
835C2×Dic61C22×D411yescharacteristic
836C2×Dic61C22×D411yescharacteristic
837D244—24no—
838D244—21no—
839D244—21no—
840D244—21no—
841D244—41no—
842D244—41no—
843D244—42no—
844D244—42no—
845D244—42no—
846D244H(5,𝔽2)12yes—
847C4×D61—24no—
848C4×D61—21no—
849C4×D61—21no—
850C4×D61—21no—
851C4×D61—21no—
852C4×D61—21no—
853C4×D61—21no—
854C4×D61—41no—
855C4×D61—41no—
856C4×D61—42no—
857C4×D61—42no—
858C4×D61—42no—
859C4×D61—81no—
860C4×D61—81no—
861C4×D61—81no—
862C4×D61—81no—
863Dic122—21no—
864Dic122—21no—
865Dic122—21no—
866Dic122—21no—
867Dic122—41no—
868Dic122—42no—
869Dic122—81no—
870Dic122—81no—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61654—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—41no—
893C22×C61—41no—
894C22×C61—41no—
895C22×C61C23×D411yescharacteristic
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—21no—
902C2×D61—21no—
903C2×D61—21no—
904C2×D61—22no—
905C2×D61—21no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—82no—
912C2×D61—84no—
913C2×D61—162no—
914C2×D61—162no—
915C2×D61—162no—
916C4×C61—21no—
917C4×C61—21no—
918C4×C61—22no—
919C4×C61—21no—
920C4×C61—21no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61C2×H(5,𝔽2)11yescharacteristic
926C4×C61C2×H(5,𝔽2)11yescharacteristic
927Dic61—21no—
928Dic61—21no—
929Dic61—21no—
930Dic61—21no—
931Dic61—21no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938#3541—611no—
939#3488—611no—
940#3333—611no—
941#3327—611no—
942#3324—611no—
943#3322—611no—
944#3314—611no—
945#3313—611no—
946#3310—611no—
947#3309—611no—
948#3278—611no—
949#3277—611no—
950#3275—611no—
951#3272—611no—
952#3271D6111yescharacteristic, complemented
953#3269—611no—
954#3266—611no—
955#3265—611no—
956#3224—611no—
957#3222—611no—
958#3203—611no—
959#3201—611no—
960#3194—611no—
961#3193—611no—
962#3124—611no—
963#3120—611no—
964#3012—611no—
965#3009—611no—
966#3007—611no—
967#3005—611no—
968#2978—611no—
969C2×C61—41no—
970C2×C61—41no—
971C2×C61—81no—
972C2×C61—81no—
973C2×C61—81no—
974C2×C61#348411yescharacteristic
975C2×C61#358511yescharacteristic
976C2×C61#358611yescharacteristic
977D61—41no—
978D61—41no—
979D61—41no—
980D61—42no—
981D61—81no—
982C2×H(5,𝔽2)—611no—
983C22×#41—611no—
984C2×#137—611no—
985C2×#137—611no—
986C2×#137—611no—
987C2×#137C2×D6111yescharacteristic, complemented
988C2×AGL(1,ℤ/8)—611no—
989C2×AGL(1,ℤ/8)—611no—
990C2×#135C2×D6111yescharacteristic, complemented
991C22×SD16—611no—
992#563—1221no—
993#562—1221no—
994#556—611no—
995#554—611no—
996#554—1221no—
997#553—611no—
998#553—1221no—
999#552—611no—
1000#550—611no—
1001#550C2×D6111yescharacteristic
1002D4×Q8—611no—
1003#548—611no—
1004#548—611no—
1005#548—611no—
1006#548C2×D6111yescharacteristic, complemented
1007#547—611no—
1008#546—611no—
1009#546—611no—
1010#546—1221no—
1011#546—1221no—
1012D42—611no—
1013D42—611no—
1014D42—1221no—
1015D42—1221no—
1016#542—611no—
1017#542—1221no—
1018#541—611no—
1019#539—1221no—
1020#538—1221no—
1021#538—1221no—
1022#537—611no—
1023#537—611no—
1024#537—1221no—
1025#536—611no—
1026#535—611no—
1027#535—1221no—
1028#525—611no—
1029#525—611no—
1030#525—1221no—
1031C2×C22⋊Q8—611no—
1032C2×#121—611no—
1033C2×#121—1221no—
1034#520—611no—
1035#497—611no—
1036#496C2×D6111yescharacteristic, complemented
1037#495—611no—
1038#492—611no—
1039#490—611no—
1040#489—611no—
1041#488—611no—
1042#486—611no—
1043#485—611no—
1044#484—611no—
1045#484—611no—
1046#484—611no—
1047#483—611no—
1048#482—611no—
1049#482—611no—
1050#482—611no—
1051#480—611no—
1052#480—611no—
1053#480—611no—
1054#480—611no—
1055#479—611no—
1056#478—611no—
1057#477—611no—
1058#474—611no—
1059#470—611no—
1060#469—611no—
1061#469C2×D6111yescharacteristic, complemented
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468—611no—
1066#468—611no—
1067#468—611no—
1068#468—611no—
1069#468—611no—
1070#468—611no—
1071#467—611no—
1072#467—611no—
1073#466—611no—
1074#465C2×D6111yescharacteristic, complemented
1075#464—611no—
1076#464—611no—
1077#464—611no—
1078#464C2×D6111yescharacteristic, complemented
1079#463—611no—
1080#463—611no—
1081#462—611no—
1082#461—611no—
1083#460—611no—
1084#460—611no—
1085#460C2×D6111yescharacteristic, complemented
1086#459—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#452—611no—
1091#452—611no—
1092#452—611no—
1093#452—611no—
1094#452—611no—
1095#452—611no—
1096#452—611no—
1097#452—611no—
1098#452C2×D6111yescharacteristic, complemented
1099#451—611no—
1100#451—611no—
1101#451—611no—
1102#450—611no—
1103#450—611no—
1104#450—611no—
1105#450—611no—
1106#450—611no—
1107#450—611no—
1108#450—611no—
1109#450—611no—
1110#449—611no—
1111#449—611no—
1112#449—611no—
1113#449—611no—
1114#449—611no—
1115#449—611no—
1116#449C2×D6111yescharacteristic, complemented
1117#449C2×D6111yescharacteristic, complemented
1118#448—611no—
1119#448—611no—
1120#448C2×D6111yescharacteristic, complemented
1121#447—611no—
1122#447—611no—
1123#441C2×D6111yescharacteristic, complemented
1124#440—611no—
1125#440—611no—
1126#440—611no—
1127C4×Q16—611no—
1128C4×Q16—611no—
1129C4×SD16—611no—
1130C4×D8—611no—
1131#436—611no—
1132#436—611no—
1133#436—611no—
1134#436—611no—
1135#435—611no—
1136#435—611no—
1137#435—611no—
1138#435C2×D6111yescharacteristic, complemented
1139#433—611no—
1140#433—611no—
1141#419—611no—
1142#418—611no—
1143#418—611no—
1144#417—611no—
1145#417—611no—
1146#417—611no—
1147#416—611no—
1148C2×#102—611no—
1149#408—611no—
1150#408—611no—
1151#407—611no—
1152#407—611no—
1153C61#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2442no—
1155H(5,𝔽2)—2442no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—611no—
1162C2×#41—1221no—
1163C2×#41—1221no—
1164C2×#41—1221no—
1165C2×#41—2442no—
1166C2×#41—2442no—
1167C2×#41C22×D6111yescharacteristic
1168C2×#41C22×D6111yescharacteristic
1169C2×#41C22×D6111yescharacteristic
1170C22×Q8—611no—
1171C22×Q8—611no—
1172C22×Q8C22×D6111yescharacteristic
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—1221no—
1178C22×D4—1221no—
1179C22×D4—1221no—
1180C22×D4—1221no—
1181C22×D4—1221no—
1182C22×D4—1221no—
1183C22×D4—1221no—
1184C23×C4—611no—
1185C23×C4—1221no—
1186#137—42no—
1187#137—2442no—
1188#137—2442no—
1189#137—2442no—
1190AGL(1,ℤ/8)—2442no—
1191AGL(1,ℤ/8)—2442no—
1192#135—42no—
1193C2×Q16—611no—
1194C2×Q16—611no—
1195C2×Q16—611no—
1196C2×Q16—611no—
1197C2×Q16C22×D6111yescharacteristic
1198C2×Q16C22×D6111yescharacteristic
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—611no—
1203C2×SD16—611no—
1204C2×SD16—611no—
1205C2×SD16—611no—
1206C2×SD16—611no—
1207C2×SD16—611no—
1208C2×SD16—2442no—
1209C2×SD16C22×D6111yescharacteristic
1210C2×SD16C22×D6111yescharacteristic
1211C2×SD16C22×D6111yescharacteristic
1212C2×SD16C22×D6111yescharacteristic
1213C2×SD16C22×D6111yescharacteristic
1214C2×D8—611no—
1215C2×D8—611no—
1216C2×D8C22×D6111yescharacteristic
1217C2×D8C22×D6111yescharacteristic
1218C2×M16—611no—
1219C2×M16—611no—
1220C2×M16—611no—
1221C2×M16—611no—
1222C2×M16—611no—
1223C2×M16C22×D6111yescharacteristic
1224C22×C8—611no—
1225C22×C8C22×D6111yescharacteristic
1226C4⋊Q8—611no—
1227C4⋊Q8—611no—
1228C4⋊Q8—1221no—
1229C4⋊Q8—1221no—
1230#127—21no—
1231#127—611no—
1232#127—1221no—
1233#127C22×D6111yescharacteristic
1234#126—1221no—
1235#126—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#126—1221no—
1240#126—1221no—
1241#125—611no—
1242#125—1221no—
1243#125—1221no—
1244#125—1221no—
1245#125—1221no—
1246#124—21no—
1247#124—611no—
1248#124—611no—
1249#124—1221no—
1250#124—1221no—
1251#124—1221no—
1252#124—1221no—
1253#124—1221no—
1254#124—1221no—
1255#124C22×D6111yescharacteristic
1256#123—611no—
1257#123—611no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265#123—1221no—
1266#123—1221no—
1267#123—1221no—
1268C22⋊Q8—21no—
1269C22⋊Q8—611no—
1270C22⋊Q8—611no—
1271C22⋊Q8—611no—
1272C22⋊Q8—611no—
1273C22⋊Q8—611no—
1274C22⋊Q8—611no—
1275C22⋊Q8—611no—
1276C22⋊Q8—611no—
1277C22⋊Q8—611no—
1278C22⋊Q8—611no—
1279C22⋊Q8—611no—
1280C22⋊Q8—611no—
1281C22⋊Q8—1221no—
1282C22⋊Q8—1221no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8—1221no—
1290C22⋊Q8—1221no—
1291C22⋊Q8—1221no—
1292C22⋊Q8—1221no—
1293C22⋊Q8C22×D6111yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—611no—
1298#121—611no—
1299#121—611no—
1300#121—611no—
1301#121—611no—
1302#121—611no—
1303#121—611no—
1304#121—611no—
1305#121—1221no—
1306#121—1221no—
1307#121—1221no—
1308#121—1221no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121—1221no—
1326#121C22×D6111yescharacteristic
1327#121C22×D6111yescharacteristic
1328#121C22×D6111yescharacteristic
1329#120—611no—
1330#120—611no—
1331#120—1221no—
1332#120—1221no—
1333#120—1221no—
1334#120—1221no—
1335#120—1221no—
1336#120—1221no—
1337#120—1221no—
1338#120—1221no—
1339#120—1221no—
1340C4×Q8—611no—
1341C4×Q8—611no—
1342C4×Q8—611no—
1343C4×Q8—1221no—
1344C4×Q8C22×D6111yescharacteristic
1345C4×Q8C22×D6111yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—611no—
1349C4×D4—611no—
1350C4×D4—611no—
1351C4×D4—611no—
1352C4×D4—611no—
1353C4×D4—611no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4—1221no—
1360C4×D4—1221no—
1361C4×D4—1221no—
1362C4×D4—1221no—
1363C4×D4—1221no—
1364C4×D4—1221no—
1365C4×D4C22×D6111yescharacteristic
1366#117—611no—
1367#117—611no—
1368#117—611no—
1369#117—1221no—
1370#117—1221no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—1221no—
1375C2×C4⋊C4—1221no—
1376C2×C4⋊C4—1221no—
1377C2×C22⋊C4—1221no—
1378C2×C22⋊C4—1221no—
1379C2×C22⋊C4—1221no—
1380C2×C22⋊C4—1221no—
1381#107—611no—
1382#107—611no—
1383#107—611no—
1384#107—611no—
1385#107—611no—
1386#107—611no—
1387#106—611no—
1388#106C22×D6111yescharacteristic
1389C4⋊C8—611no—
1390C4⋊C8—611no—
1391C4⋊C8—611no—
1392C4⋊C8C22×D6111yescharacteristic
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103—611no—
1403#103—611no—
1404#103C22×D6111yescharacteristic
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#102—611no—
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102—611no—
1421#102—611no—
1422#102C22×D6111yescharacteristic
1423#102C22×D6111yescharacteristic
1424#102C22×D6111yescharacteristic
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8—611no—
1433C22⋊C8—611no—
1434C22⋊C8—611no—
1435C22⋊C8C22×D6111yescharacteristic
1436C22⋊C8C22×D6111yescharacteristic
1437#97—611no—
1438#97C22×D6111yescharacteristic
1439C4×C8—611no—
1440C4×C8—611no—
1441C24—611no—
1442C24—1221no—
1443C24—1221no—
1444C24—1221no—
1445C24—1221no—
1446#41—22no—
1447#41—22no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—1222no—
1453#41—1222no—
1454#41—1222no—
1455#41—1222no—
1456#41—2441no—
1457#41—2441no—
1458#41—2441no—
1459#41—2444no—
1460#41—2444no—
1461#41—2441no—
1462#41—2441no—
1463#41—2441no—
1464#41—2441no—
1465#41—2444no—
1466#41—2441no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—611no—
1471C2×Q8—611no—
1472C2×Q8—611no—
1473C2×Q8—1221no—
1474C2×Q8—1221no—
1475C2×Q8—1221no—
1476C2×Q8—1222no—
1477C2×Q8—2441no—
1478C2×Q8—2441no—
1479C2×Q8—2441no—
1480C2×Q8C23×D6111yescharacteristic
1481C2×Q8C23×D6111yescharacteristic
1482C2×Q8C23×D6111yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—611no—
1492C2×D4—611no—
1493C2×D4—611no—
1494C2×D4—611no—
1495C2×D4—611no—
1496C2×D4—611no—
1497C2×D4—611no—
1498C2×D4—611no—
1499C2×D4—1222no—
1500C2×D4—1221no—
1501C2×D4—1221no—
1502C2×D4—1221no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1221no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1222no—
1509C2×D4—1222no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—4882no—
1520C2×D4—4882no—
1521C2×D4—4882no—
1522C2×D4—2441no—
1523C2×D4—2444no—
1524C2×D4—2441no—
1525C2×D4—2441no—
1526C2×D4—2441no—
1527C2×D4—2441no—
1528C2×D4—2444no—
1529C2×D4—2444no—
1530C2×D4—2444no—
1531C2×D4D4×D6111yescharacteristic
1532C2×D4C23×D6111yescharacteristic
1533C2×D4C23×D6111yescharacteristic
1534C2×D4C23×D6111yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—611no—
1540C22×C4—611no—
1541C22×C4—611no—
1542C22×C4—611no—
1543C22×C4—611no—
1544C22×C4—611no—
1545C22×C4—1221no—
1546C22×C4—1221no—
1547C22×C4—1221no—
1548C22×C4—1221no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4—1221no—
1556C22×C4—1221no—
1557C22×C4—1221no—
1558C22×C4—2441no—
1559C22×C4—2441no—
1560C22×C4—2444no—
1561C22×C4C23×D6111yescharacteristic
1562C22×C4C23×D6111yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—1222no—
1566Q16—2441no—
1567Q16—2441no—
1568Q16—2441no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—1222no—
1575SD16—1222no—
1576SD16—1222no—
1577SD16—2441no—
1578SD16—2441no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582SD16—2441no—
1583D8—41no—
1584D8—41no—
1585D8—1222no—
1586D8—2441no—
1587M16—41no—
1588M16—2441no—
1589M16—2441no—
1590M16—2441no—
1591M16—2441no—
1592M16—2441no—
1593C2×C8—41no—
1594C2×C8—611no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—611no—
1598C2×C8—2441no—
1599C2×C8C23×D6111yescharacteristic
1600C2×C8C23×D6111yescharacteristic
1601C2×C8C23×D6111yescharacteristic
1602C2×C8C23×D6111yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—611no—
1607C4⋊C4—611no—
1608C4⋊C4—611no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—611no—
1613C4⋊C4—611no—
1614C4⋊C4—611no—
1615C4⋊C4—1221no—
1616C4⋊C4—1221no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4—1221no—
1632C4⋊C4—1221no—
1633C4⋊C4—1221no—
1634C4⋊C4—1221no—
1635C4⋊C4—1221no—
1636C4⋊C4D4×D6111yescharacteristic
1637C4⋊C4C23×D6111yescharacteristic
1638C4⋊C4C23×D6111yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—611no—
1648C22⋊C4—611no—
1649C22⋊C4—611no—
1650C22⋊C4—611no—
1651C22⋊C4—611no—
1652C22⋊C4—611no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4—1221no—
1674C22⋊C4—1221no—
1675C22⋊C4—1221no—
1676C22⋊C4—1221no—
1677C22⋊C4—1221no—
1678C22⋊C4D4×D6111yescharacteristic
1679C22⋊C4D4×D6111yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—611no—
1683C42—1221no—
1684C42—1221no—
1685C42—1221no—
1686C42—1221no—
1687C42—1221no—
1688C42C23×D6111yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—611no—
1693C23—611no—
1694C23—611no—
1695C23—1221no—
1696C23—1221no—
1697C23—4881no—
1698C23—4881no—
1699C23—4881no—
1700C23—4881no—
1701C23—4881no—
1702C23—4881no—
1703C23—4881no—
1704C23—2441no—
1705C23—2441no—
1706C23—2441no—
1707C23—2442no—
1708C23—2442no—
1709C23—2442no—
1710C23—2442no—
1711C23—2442no—
1712C23C2×D4×D6111yescharacteristic
1713C23C2×D4×D6111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—81no—
1720Q8—1221no—
1721Q8—1221no—
1722Q8—1221no—
1723Q8—1221no—
1724Q8—4881no—
1725Q8—4881no—
1726Q8—2441no—
1727Q8—2442no—
1728Q8#1451982212yes—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—41no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—612no—
1745D4—1224no—
1746D4—1221no—
1747D4—1221no—
1748D4—1221no—
1749D4—4881no—
1750D4—4881no—
1751D4—4881no—
1752D4—4881no—
1753D4—4881no—
1754D4—4881no—
1755D4—4881no—
1756D4—2441no—
1757D4—2441no—
1758D4—2442no—
1759D4—2442no—
1760D4—2442no—
1761D4—2441no—
1762D4—2441no—
1763D4—2441no—
1764D4—2441no—
1765D4—2442no—
1766D4—2442no—
1767D4—2442no—
1768D4—2442no—
1769D4—2442no—
1770D4—2442no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—611no—
1785C2×C4—611no—
1786C2×C4—611no—
1787C2×C4—611no—
1788C2×C4—611no—
1789C2×C4—1224no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—1221no—
1801C2×C4—1221no—
1802C2×C4—4881no—
1803C2×C4—4881no—
1804C2×C4—4881no—
1805C2×C4—4881no—
1806C2×C4—4881no—
1807C2×C4—4881no—
1808C2×C4—4881no—
1809C2×C4—4881no—
1810C2×C4—2441no—
1811C2×C4—2441no—
1812C2×C4—2442no—
1813C2×C4—2442no—
1814C2×C4—2442no—
1815C2×C4—2441no—
1816C2×C4—2442no—
1817C2×C4C2×D4×D6111yescharacteristic
1818C2×C4C2×D4×D6111yescharacteristic
1819C2×C4C2×D4×D6111yescharacteristic
1820C2×C4C2×D4×D6111yescharacteristic
1821C2×C4C24×D6111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1221no—
1827C8—1221no—
1828C8—1221no—
1829C8—1221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—1221no—
1849C22—1221no—
1850C22—1221no—
1851C22—1221no—
1852C22—1221no—
1853C22—1222no—
1854C22—1221no—
1855C22—9762no—
1856C22—9762no—
1857C22—9762no—
1858C22—4882no—
1859C22—4884no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22C22×D4×D6111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—22no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—1221no—
1876C4—1221no—
1877C4—1221no—
1878C4—1221no—
1879C4—1221no—
1880C4—2441no—
1881C4—2441no—
1882C4—2441no—
1883C4—2441no—
1884C4—2441no—
1885C4—2441no—
1886C4H(5,𝔽2)×D6111yescharacteristic
1887C4C2×#1451982211yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—81no—
1893C2—4881no—
1894C2—2441no—
1895C2—2441no—
1896C2—2441no—
1897C2—2442no—
1898C2#2145944711yescharacteristic
1899C2#2146059711yescharacteristic
1900C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3271C2
socleC22×C61C23×D4
hypercenter#3271D61
hypocenterC61#61654
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. #21460098C2semidirect
2. #21459487C2semidirect
3. #21458157C2semidirect
4. #21458080C2semidirect
5. #21458053C2semidirect
6. #21458015C2semidirect
7. #21457902C2semidirect
8. #21457890C2semidirect
9. #21457846C2semidirect
10. #21457818C2semidirect
11. #21457479C2semidirect
12. #21457471C2semidirect
13. #21457451C2semidirect
14. #21457412C2semidirect
15. #21457374C2semidirect
16. #21457332C2semidirect
17. #21457313C2semidirect
18. #21456908C2semidirect
19. #21456890C2semidirect
20. #21456718C2semidirect
21. #21456694C2semidirect
22. #21456628C2semidirect
23. #21456623C2semidirect
24. #21456080C2semidirect
25. #21456031C2semidirect
26. #21455119C2semidirect
27. #21455093C2semidirect
28. #21455075C2semidirect
29. #21455057C2semidirect
30. #21454878C2semidirect
31. C61×#3271C2semidirect
34. C2×#14519809C22semidirect
35. C2×#14519808C22semidirect
36. C2×#14519806C22semidirect
37. C2×#14519802C22semidirect
38. C2×#14519801C22semidirect
39. C2×SD16×D61C22semidirect
42. #16840485C22semidirect
44. #16840469C22semidirect
45. #16840464C22semidirect
47. #16840454C22semidirect
49. Q8×C22⋊D61C22semidirect
51. #16840420C22semidirect
53. #16840411C22semidirect
62. #16840381C22semidirect
64. #16840370C22semidirect
70. #16840340C22semidirect
71. #16840335C22semidirect
74. #16840272C22semidirect
77. C2×#14519753C22semidirect
81. #16840153C22semidirect
82. #16840144C22semidirect
83. #16840133C22semidirect
84. #16840125C22semidirect
85. #16840122C22semidirect
86. #16840115C22semidirect
87. #16840108C22semidirect
88. #16840106C22semidirect
89. #16840098C22semidirect
90. #16840096C22semidirect
91. #16840096C22semidirect
92. #16840094C22semidirect
93. #16840088C22semidirect
94. #16840084C22semidirect
95. #16840084C22semidirect
96. #16840076C22semidirect
97. #16840074C22semidirect
98. #16840073C22semidirect
99. #16840073C22semidirect
100. #16840071C22semidirect
101. #16840061C22semidirect
102. #16840057C22semidirect
103. #16840043C22semidirect
104. #16840018C22semidirect
105. #16840013C22semidirect
106. #16840011C22semidirect
107. #16840011C22semidirect
108. #16840008C22semidirect
109. #16840007C22semidirect
110. #16840006C22semidirect
111. #16840006C22semidirect
112. #16840005C22semidirect
113. #16840005C22semidirect
114. #16840005C22semidirect
115. #16840003C22semidirect
116. #16840002C22semidirect
117. #16839995C22semidirect
118. #16839985C22semidirect
119. #16839984C22semidirect
120. #16839982C22semidirect
121. #16839975C22semidirect
122. #16839974C22semidirect
123. #16839970C22semidirect
124. #16839966C22semidirect
125. #16839960C22semidirect
126. #16839959C22semidirect
127. #16839955C22semidirect
129. #16839926C22semidirect
130. #16839925C22semidirect
131. #16839924C22semidirect
132. #16839924C22semidirect
133. #16839924C22semidirect
136. #16839923C22semidirect
137. #16839921C22semidirect
138. #16839921C22semidirect
139. #16839919C22semidirect
140. #16839916C22semidirect
141. #16839916C22semidirect
142. #16839915C22semidirect
143. #16839914C22semidirect
144. #16839912C22semidirect
145. #16839911C22semidirect
146. #16839911C22semidirect
147. #16839911C22semidirect
148. #16839911C22semidirect
149. #16839911C22semidirect
150. #16839908C22semidirect
152. #16839906C22semidirect
153. #16839905C22semidirect
154. #16839904C22semidirect
155. #16839904C22semidirect
156. #16839901C22semidirect
157. #16839899C22semidirect
158. #16839894C22semidirect
159. #16839894C22semidirect
160. #16839865C22semidirect
161. #16839864C22semidirect
162. #16839863C22semidirect
163. Q16×Dic61C22semidirect
164. C4×#11758202C22semidirect
165. C4×#11758201C22semidirect
166. #16839842C22semidirect
167. #16839840C22semidirect
168. #16839839C22semidirect
169. #16839838C22semidirect
170. #16839837C22semidirect
171. #16839836C22semidirect
172. #16839835C22semidirect
173. #16839833C22semidirect
174. #16839824C22semidirect
175. #16839822C22semidirect
176. #16839769C22semidirect
177. #16839765C22semidirect
178. #16839765C22semidirect
179. #16839764C22semidirect
180. #16839763C22semidirect
181. #16839763C22semidirect
182. #16839757C22semidirect
183. C2×#14519699C22semidirect
184. #16839728C22semidirect
185. #16839727C22semidirect
186. #16839725C22semidirect
187. #16839724C22semidirect
188. C2×#137×C61C22semidirect
189. C2×#135×C61C22semidirect
191. C61×#548C22semidirect
192. C61×#496C22semidirect
193. C61×#469C22semidirect
194. C61×#465C22semidirect
195. C61×#464C22semidirect
196. C61×#460C22semidirect
197. C61×#452C22semidirect
198. C61×#449C22semidirect
199. C61×#449C22semidirect
200. C61×#448C22semidirect
201. C61×#441C22semidirect
202. C61×#435C22semidirect
952. #3271D61semidirect
987. C2×#137C2×D61semidirect
990. C2×#135C2×D61semidirect
1006. #548C2×D61semidirect
1036. #496C2×D61semidirect
1061. #469C2×D61semidirect
1074. #465C2×D61semidirect
1078. #464C2×D61semidirect
1085. #460C2×D61semidirect
1098. #452C2×D61semidirect
1116. #449C2×D61semidirect
1117. #449C2×D61semidirect
1120. #448C2×D61semidirect
1123. #441C2×D61semidirect
1138. #435C2×D61semidirect
1153. C61#61654semidirect

Maximal subgroups

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

subgroupindex
#214600982
#214594872
#214581572
#214580802
#214580532
#214580152
#214579022
#214578902
#214578462
#214578182
#214574792
#214574712
#214574512
#214574122
#214573742
#214573322
#214573132
#214569082
#214568902
#214567182
#214566942
#214566282
#214566232
#214560802
#214560312
#214551192
#214550932
#214550752
#214550572
#214548782
C61×#32712
#6165461