Finite Group Databasebeta

← D61×#3312 #30556611

Subgroups — D61×#3312 #30556611

Order 15616.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D61C211yesmaximal, characteristic
2D4×Q8×D61C211yesmaximal, characteristic
3#21457877C211yesmaximal, characteristic, complemented
4#21457876C211yesmaximal, characteristic, complemented
5#21457875C211yesmaximal, characteristic, complemented
6#21457874C211yesmaximal, characteristic, complemented
7#21457873C211yesmaximal, characteristic, complemented
8#21457872C211yesmaximal, characteristic, complemented
9#21457871C211yesmaximal, characteristic, complemented
10#21457870C211yesmaximal, characteristic, complemented
11#21457869C211yesmaximal, characteristic, complemented
12#21457868C211yesmaximal, characteristic, complemented
13#21457867C211yesmaximal, characteristic, complemented
14#21457866C211yesmaximal, characteristic, complemented
15#21457865C211yesmaximal, characteristic, complemented
16#21457864C211yesmaximal, characteristic, complemented
17#21457863C211yesmaximal, characteristic, complemented
18#491×D61C211yesmaximal, characteristic, complemented
19#485×D61C211yesmaximal, characteristic, complemented
20#483×D61C211yesmaximal, characteristic, complemented
21#479×D61C211yesmaximal, characteristic, complemented
22#470×D61C211yesmaximal, characteristic, complemented
23#467×D61C211yesmaximal, characteristic, complemented
24#462×D61C211yesmaximal, characteristic, complemented
25#451×D61C211yesmaximal, characteristic, complemented
26#451×D61C211yesmaximal, characteristic, complemented
27#441×D61C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic
29#419×D61C211yesmaximal, characteristic, complemented
30C2×#103×D61C211yesmaximal, characteristic, complemented
31C61×#3312C211yesmaximal, characteristic, complemented
32C22×Q8×D61C2211yescharacteristic
33C22×Q8×D61C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic
35C2×Q16×D61C2211yescharacteristic
36C2×Q16×D61C2211yescharacteristic
37C2×M16×D61C2211yescharacteristic
38C22×C8×D61C2211yescharacteristic
39#16840454C2211yescharacteristic
40#16840453C2211yescharacteristic
41#16840452C2211yescharacteristic
42#16840451C2211yescharacteristic
43#16840450C2211yescharacteristic
44#16840449—21no—
45#16840448—21no—
46#16840447C2211yescharacteristic
47#16840446C2211yescharacteristic
48#16840445—21no—
49#16840444—21no—
50Q8×D244C2211yescharacteristic
51D4×Dic122—21no—
52D4×Dic122C2211yescharacteristic
53#16840427—21no—
54#16840427C2211yescharacteristic
55Q8×C22⋊D61C2211yescharacteristic
56Q8×C22⋊D61C2211yescharacteristic
57#16840425—21no—
58#16840425—21no—
59#16840425C2211yescharacteristic
60#16840425C2211yescharacteristic
61C4⋊Q8×D61—21no—
62C4⋊Q8×D61C2211yescharacteristic
63#126×D61—21no—
64#125×D61—21no—
65#125×D61C2211yescharacteristic
66#123×D61—21no—
67C22⋊Q8×D61—21no—
68C22⋊Q8×D61—21no—
69C22⋊Q8×D61C2211yescharacteristic
70C22⋊Q8×D61C2211yescharacteristic
71C22⋊Q8×D61C2211yescharacteristic
72C22⋊Q8×D61C2211yescharacteristic
73C4×Q8×D61C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75C4×D4×D61—21no—
76C4×D4×D61C2211yescharacteristic
77#117×D61—21no—
78#117×D61C2211yescharacteristic
79C2×C4⋊C4×D61C2211yescharacteristic
80#16840132C2211yescharacteristic, complemented
81#16840131C2211yescharacteristic, complemented
82#16840130C2211yescharacteristic, complemented
83#16840129C2211yescharacteristic, complemented
84#16840129C2211yescharacteristic, complemented
85#16840129C2211yescharacteristic, complemented
86#16840129C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic, complemented
93#16840100C2211yescharacteristic, complemented
94#16840094C2211yescharacteristic, complemented
95#16840094C2211yescharacteristic, complemented
96#16840093C2211yescharacteristic, complemented
97#16840092C2211yescharacteristic, complemented
98#16840091C2211yescharacteristic, complemented
99#16840091C2211yescharacteristic, complemented
100#16840090C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840071C2211yescharacteristic, complemented
103#16840070C2211yescharacteristic, complemented
104#16840069C2211yescharacteristic, complemented
105#16840068C2211yescharacteristic, complemented
106#16840067C2211yescharacteristic, complemented
107#16840066C2211yescharacteristic, complemented
108#16840021C2211yescharacteristic, complemented
109#16840020C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840019C2211yescharacteristic, complemented
112#16840018C2211yescharacteristic, complemented
113#16840018C2211yescharacteristic, complemented
114#16840017C2211yescharacteristic, complemented
115#16840004C2211yescharacteristic, complemented
116#16840003C2211yescharacteristic, complemented
117#16840002C2211yescharacteristic, complemented
118#16840002C2211yescharacteristic, complemented
119#16840001C2211yescharacteristic, complemented
120#16840001C2211yescharacteristic, complemented
121#16840000C2211yescharacteristic, complemented
122#16839973C2211yescharacteristic, complemented
123#16839972C2211yescharacteristic, complemented
124#16839971C2211yescharacteristic, complemented
125#16839971C2211yescharacteristic, complemented
126#16839970C2211yescharacteristic, complemented
127#16839970C2211yescharacteristic, complemented
128#16839969C2211yescharacteristic, complemented
129#16839920C2211yescharacteristic, complemented
130#16839920C2211yescharacteristic, complemented
131#16839919C2211yescharacteristic, complemented
132#16839919C2211yescharacteristic, complemented
133#16839919C2211yescharacteristic, complemented
134#16839919C2211yescharacteristic, complemented
135#16839918C2211yescharacteristic, complemented
136#16839918C2211yescharacteristic, complemented
137#16839917C2211yescharacteristic, complemented
138#16839917C2211yescharacteristic, complemented
139#16839916C2211yescharacteristic, complemented
140#16839916C2211yescharacteristic, complemented
141#16839916C2211yescharacteristic, complemented
142#16839916C2211yescharacteristic, complemented
143#16839870C2211yescharacteristic, complemented
144#16839869C2211yescharacteristic, complemented
145#16839868C2211yescharacteristic, complemented
146#16839867C2211yescharacteristic, complemented
147#16839867C2211yescharacteristic, complemented
148#16839866C2211yescharacteristic, complemented
149#16839866C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic
151#16839835C2211yescharacteristic
152#16839834C2211yescharacteristic
153#16839833C2211yescharacteristic
154#16839832C2211yescharacteristic
155#16839831C2211yescharacteristic
156#16839830C2211yescharacteristic
157#107×D61C2211yescharacteristic
158#106×D61C2211yescharacteristic
159#106×D61C2211yescharacteristic
160C4⋊C8×D61C2211yescharacteristic
161#16839772C2211yescharacteristic, complemented
162#16839771C2211yescharacteristic, complemented
163#16839770C2211yescharacteristic, complemented
164#16839769C2211yescharacteristic, complemented
165#16839769C2211yescharacteristic, complemented
166#16839769C2211yescharacteristic, complemented
167#16839769C2211yescharacteristic, complemented
168C2×#14519702C2211yescharacteristic, complemented
169C2×#14519701C2211yescharacteristic, complemented
170C2×#14519700C2211yescharacteristic, complemented
171#103×D61C2211yescharacteristic
172#103×D61C2211yescharacteristic
173#103×D61C2211yescharacteristic
174#103×D61C2211yescharacteristic
175#103×D61C2211yescharacteristic
176#103×D61C2211yescharacteristic
177#103×D61C2211yescharacteristic
178#103×D61C2211yescharacteristic
179#103×D61C2211yescharacteristic
180#103×D61C2211yescharacteristic
181#103×D61C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184#103×D61C2211yescharacteristic, complemented
185C22⋊C8×D61C2211yescharacteristic
186C22⋊C8×D61C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#552C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic
190C61×#491C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#451C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C61×#441C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#419C2211yescharacteristic, complemented
202C2×#103×C61C2211yescharacteristic, complemented
203C22×Dic122—21no—
204C22×Dic122—21no—
205C22×Dic122C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C2×Q8×D61—21no—
208C2×Q8×D61—21no—
209C2×Q8×D61—21no—
210C2×Q8×D61—21no—
211C2×Q8×D61—24no—
212C2×Q8×D61—24no—
213C2×Q8×D61—42no—
214C2×Q8×D61—42no—
215C2×Q8×D61C2311yescharacteristic
216C2×Q8×D61C2311yescharacteristic
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C2×Q8×D61C2311yescharacteristic
222C2×Q8×D61C2311yescharacteristic
223C2×D4×D61D411yescharacteristic
224C22×C4×D61—21no—
225C22×C4×D61—21no—
226C22×C4×D61—21no—
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C2×Dic244C2311yescharacteristic
230C2×Dic244C2311yescharacteristic
231C2×Dic244C2311yescharacteristic
232C2×#11758202C2311yescharacteristic
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236C2×#11758202C2311yescharacteristic
237C2×#11758202C2311yescharacteristic
238Q16×D61—24no—
239Q16×D61—42no—
240Q16×D61—42no—
241C2×#11758194C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244M16×D61—42no—
245C22×#92418C2311yescharacteristic
246C2×C8×D61—42no—
247C2×C8×D61C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253#14519777—21no—
254#14519777C2311yescharacteristic
255#14519776—21no—
256#14519776—21no—
257#14519776—21no—
258#14519776—21no—
259#14519776—21no—
260#14519776—21no—
261#14519775—21no—
262#14519775—21no—
263#14519775C2311yescharacteristic
264#14519775C2311yescharacteristic
265#14519772—21no—
266#14519772—21no—
267#14519772—21no—
268#14519771—21no—
269#14519770—21no—
270#14519770—21no—
271#14519770—21no—
272#14519769—21no—
273#14519769C2311yescharacteristic
274#14519768—21no—
275#14519768—21no—
276#14519768C2311yescharacteristic
277#14519768C2311yescharacteristic
278#14519767—21no—
279#14519767—21no—
280#14519767—21no—
281#14519767—21no—
282#14519767—21no—
283#14519767—21no—
284#14519762—21no—
285#14519762—21no—
286#14519761—21no—
287#14519760—21no—
288#14519759—21no—
289#14519759—21no—
290#14519758—21no—
291#14519757—21no—
292#14519757—21no—
293#14519757C2311yescharacteristic
294#14519757C2311yescharacteristic
295#14519757C2311yescharacteristic
296#14519757C2311yescharacteristic
297#14519756—21no—
298#14519756—21no—
299#14519756C2311yescharacteristic
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519756C2311yescharacteristic
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519755—21no—
311#14519754—21no—
312#14519754—21no—
313#14519754—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519754—21no—
318#14519754—21no—
319#14519753—21no—
320#14519753—21no—
321#14519753C2311yescharacteristic
322#14519753C2311yescharacteristic
323#14519753C2311yescharacteristic
324#14519753C2311yescharacteristic
325Q8×Dic61C2311yescharacteristic
326Q8×Dic61C2311yescharacteristic
327C4×Dic122—21no—
328C4×Dic122—21no—
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331#14519742—21no—
332#14519742—21no—
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337D4×Dic61—21no—
338D4×Dic61D411yescharacteristic
339#14519739—21no—
340#14519739D411yescharacteristic
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61C2311yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345#14519737—21no—
346#14519737—21no—
347#14519737D411yescharacteristic
348#14519737D411yescharacteristic
349#14519736—21no—
350#14519736C2311yescharacteristic
351#14519735—21no—
352#14519735—21no—
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519734—21no—
357#14519734—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61D411yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61D411yescharacteristic
388C22⋊C4×D61D411yescharacteristic
389C42×D61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519701C2311yescharacteristic
422#14519701C2311yescharacteristic
423#14519701C2311yescharacteristic
424#14519701C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519700C2311yescharacteristic
428#14519700C2311yescharacteristic
429#14519700C2311yescharacteristic
430#14519700C2311yescharacteristic
431#14519700C2311yescharacteristic
432#14519700C2311yescharacteristic
433#14519700C2311yescharacteristic
434#14519700C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C22×Q8×C61C2311yescharacteristic
445C22×Q8×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×Q16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61—21no—
452C4⋊Q8×C61C2311yescharacteristic
453#126×C61—21no—
454#125×C61—21no—
455#125×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61—21no—
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462C22⋊Q8×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467#117×C61—21no—
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61C2×D411yescharacteristic
488C23×D61C2×D411yescharacteristic
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—22no—
492C2×Q8×C61—22no—
493C2×Q8×C61—41no—
494C2×Q8×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×D4×C61C2×D411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61C2411yescharacteristic
504C22×C4×C61C2411yescharacteristic
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61C2×D411yescharacteristic
511C22×Dic61C2×D411yescharacteristic
512Q8×D61—22no—
513Q8×D61—22no—
514Q8×D61—22no—
515Q8×D61—22no—
516Q8×D61—22no—
517Q8×D61—22no—
518Q8×D61—22no—
519Q8×D61—22no—
520Q8×D61—22no—
521Q8×D61—22no—
522Q8×D61—22no—
523Q8×D61—41no—
524Q8×D61—41no—
525Q8×D61—41no—
526Q8×D61—41no—
527Q8×D61—44no—
528Q8×D61—44no—
529Q8×D61—44no—
530Q8×D61—44no—
531Q8×D61#4114yes—
532D4×D61—24no—
533C2×D244C2×D411yescharacteristic
534C2×C4×D61—21no—
535C2×C4×D61—22no—
536C2×C4×D61—22no—
537C2×C4×D61—22no—
538C2×C4×D61—22no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—44no—
553C2×C4×D61—44no—
554C2×C4×D61—44no—
555C2×C4×D61C2×D411yescharacteristic
556C2×C4×D61C2×D411yescharacteristic
557C2×C4×D61C2×D411yescharacteristic
558C2×C4×D61C2×D411yescharacteristic
559C2×C4×D61C2×D411yescharacteristic
560C2×C4×D61C2×D411yescharacteristic
561C2×C4×D61C2411yescharacteristic
562C2×C4×D61C2411yescharacteristic
563C2×C4×D61C2411yescharacteristic
564C2×Dic122—21no—
565C2×Dic122—22no—
566C2×Dic122—22no—
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122—21no—
570C2×Dic122—21no—
571C2×Dic122—21no—
572C2×Dic122—21no—
573C2×Dic122—21no—
574C2×Dic122—21no—
575C2×Dic122—21no—
576C2×Dic122—41no—
577C2×Dic122—41no—
578C2×Dic122—44no—
579C2×Dic122—44no—
580C2×Dic122C2411yescharacteristic
581C2×Dic122C2411yescharacteristic
582C2×Dic122C2411yescharacteristic
583C2×Dic122C2411yescharacteristic
584Q16×C61—22no—
585Q16×C61—41no—
586Q16×C61—41no—
587M16×C61—41no—
588C2×C8×C61—41no—
589C2×C8×C61C2411yescharacteristic
590C2×C8×C61C2411yescharacteristic
591C2×C8×C61C2411yescharacteristic
592C2×C8×C61C2411yescharacteristic
593C4⋊C4×C61—21no—
594C4⋊C4×C61—21no—
595C4⋊C4×C61—21no—
596C4⋊C4×C61—21no—
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61C2×D411yescharacteristic
605C4⋊C4×C61C2411yescharacteristic
606C4⋊C4×C61C2411yescharacteristic
607C4⋊C4×C61C2411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C22⋊C4×C61—21no—
610C22⋊C4×C61—21no—
611C22⋊C4×C61—21no—
612C22⋊C4×C61—21no—
613C22⋊C4×C61—21no—
614C22⋊C4×C61C2×D411yescharacteristic
615C22⋊C4×C61C2×D411yescharacteristic
616C42×C61—21no—
617C42×C61—21no—
618C42×C61—21no—
619C42×C61C2411yescharacteristic
620C22⋊Dic61—21no—
621C22⋊Dic61—21no—
622C22⋊Dic61—21no—
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625C22⋊Dic61C2×D411yescharacteristic
626C22⋊Dic61C2×D411yescharacteristic
627#11758202—22no—
628#11758202—22no—
629#11758202—41no—
630#11758202—41no—
631#11758202—41no—
632#11758202—41no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61C2×D411yescharacteristic
659C4⋊Dic61C2411yescharacteristic
660C4⋊Dic61C2411yescharacteristic
661C4⋊Dic61C2411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196C2×D411yescharacteristic
690#11758196C2×D411yescharacteristic
691C4×Dic61—21no—
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61C2×D411yescharacteristic
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2411yescharacteristic
703#11758194—41no—
704C2×#92418—41no—
705C2×#92418C2411yescharacteristic
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709Dic244—22no—
710Dic244—41no—
711Dic244—41no—
712#11758189—41no—
713#11758189—41no—
714C8×D61—22no—
715C8×D61—22no—
716C8×D61—22no—
717C8×D61—22no—
718C8×D61—41no—
719C8×D61—41no—
720C23×C61C22×D411yescharacteristic
721C23×C61C22×D411yescharacteristic
722C22×D61—22no—
723C22×D61—22no—
724C22×D61—22no—
725C22×D61—22no—
726C22×D61—22no—
727C22×D61#13714yes—
728C22×D61C22×D411yescharacteristic
729C22×D61C22×D411yescharacteristic
730C22×D61C22×D411yescharacteristic
731Q8×C61—21no—
732Q8×C61—21no—
733Q8×C61—21no—
734Q8×C61—21no—
735Q8×C61—21no—
736Q8×C61—21no—
737Q8×C61—21no—
738Q8×C61—42no—
739Q8×C61—42no—
740Q8×C61C2×#4112yes—
741D4×C61—22no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—42no—
755C2×C4×C61—42no—
756C2×C4×C61—42no—
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C22×D411yescharacteristic
761C2×C4×C61C2511yescharacteristic
762C22⋊D61—22no—
763C22⋊D61—22no—
764C2×Dic61—21no—
765C2×Dic61—22no—
766C2×Dic61—22no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—42no—
775C2×Dic61—42no—
776C2×Dic61—42no—
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782D244—22no—
783C4×D61—22no—
784C4×D61—22no—
785C4×D61—24no—
786C4×D61—22no—
787C4×D61—22no—
788C4×D61—21no—
789C4×D61—21no—
790C4×D61—21no—
791C4×D61—21no—
792C4×D61—22no—
793C4×D61—22no—
794C4×D61—42no—
795C4×D61—42no—
796C4×D61—42no—
797C4×D61—42no—
798C4×D61—42no—
799C4×D61—42no—
800C4×D61—42no—
801C4×D61—42no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—42no—
806C4×D61—42no—
807C4×D61C2×#4112yes—
808C4×D61H(5,𝔽2)12yes—
809Dic122—21no—
810Dic122—24no—
811Dic122—21no—
812Dic122—21no—
813Dic122—21no—
814Dic122—21no—
815Dic122—21no—
816Dic122—21no—
817Dic122—42no—
818Dic122—42no—
819Dic122—42no—
820Dic122—42no—
821Dic122—42no—
822Dic122—42no—
823Dic122—42no—
824Dic122—42no—
825Dic122—42no—
826Dic122C2×#4112yes—
827C8×C61—21no—
828C8×C61—21no—
829C8×C61—21no—
830C8×C61—21no—
831#92418—21no—
832#92418—21no—
833#92418—21no—
834#92418—21no—
835C2×#3312—611nomaximal, Sylow
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—21no—
841C22×C61C2×#13712yes—
842C22×C61C23×D411yescharacteristic
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—28no—
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—21no—
849C2×D61—44no—
850C2×D61#54612yes—
851C2×D61C2×#13712yes—
852C2×D61C2×#13712yes—
853C2×D61#57812yes—
854C4×C61—22no—
855C4×C61—21no—
856C4×C61—21no—
857C4×C61—21no—
858C4×C61—21no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61C22×#4111yescharacteristic
867C4×C61C2×H(5,𝔽2)11yescharacteristic
868Dic61—22no—
869Dic61—21no—
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61#54612yes—
881C2×#552—611no—
882C2×D4×Q8—611no—
883#3312—611no—
884#3312—611no—
885#3312—611no—
886#3312—611no—
887#3312—611no—
888#3312—611no—
889#3312—611no—
890#3312—611no—
891#3312—611no—
892#3312—611no—
893#3312—611no—
894#3312—611no—
895#3312—611no—
896#3312—611no—
897#3312—611no—
898#3312D6111yescharacteristic, direct product factor
899C2×#491—611no—
900C2×#485—611no—
901C2×#483—611no—
902C2×#479—611no—
903C2×#470—611no—
904C2×#467—611no—
905C2×#462—611no—
906C2×#451—611no—
907C2×#451—611no—
908C2×#441—611no—
909C2×#435—611no—
910C2×#419—611no—
911C22×#103—611no—
912C2×C61—22no—
913C2×C61—41no—
914C2×C61C2×#54611yescharacteristic
915C2×C61C22×#13711yescharacteristic
916C2×C61C2×#57811yescharacteristic
917D61—22no—
918D61—41no—
919D61#331214yesdirect product factor
920C23×Q8—611no—
921C23×Q8—611no—
922C22×Q16—611no—
923C22×Q16—611no—
924C22×Q16—611no—
925C22×M16—611no—
926C23×C8—611no—
927#552—611no—
928#552—611no—
929#552—611no—
930#552—611no—
931#552—611no—
932#552—611no—
933#552—611no—
934#552—1221no—
935#552—1221no—
936#552—1221no—
937#552—1221no—
938#552C2×D6111yescharacteristic
939D4×Q8—611no—
940D4×Q8—611no—
941D4×Q8—611no—
942D4×Q8—611no—
943D4×Q8—611no—
944D4×Q8—611no—
945D4×Q8—611no—
946D4×Q8—1221no—
947D4×Q8—1221no—
948D4×Q8—1221no—
949D4×Q8—1221no—
950D4×Q8C2×D6111yescharacteristic
951C2×C4⋊Q8—611no—
952C2×C4⋊Q8—1221no—
953C2×#126—1221no—
954C2×#125—611no—
955C2×#125—1221no—
956C2×#123—1221no—
957C2×C22⋊Q8—611no—
958C2×C22⋊Q8—611no—
959C2×C22⋊Q8—611no—
960C2×C22⋊Q8—611no—
961C2×C22⋊Q8—1221no—
962C2×C22⋊Q8—1221no—
963C2×C4×Q8—611no—
964C2×C4×Q8—611no—
965C2×C4×D4—611no—
966C2×C4×D4—1221no—
967C2×#117—611no—
968C2×#117—1221no—
969C22×C4⋊C4—611no—
970#491—611no—
971#491—611no—
972#491—611no—
973#491—611no—
974#491—611no—
975#491—611no—
976#491—611no—
977#491C2×D6111yescharacteristic, complemented
978#485—611no—
979#485—611no—
980#485—611no—
981#485—611no—
982#485—611no—
983#485—611no—
984#485—611no—
985#485C2×D6111yescharacteristic, complemented
986#483—611no—
987#483—611no—
988#483—611no—
989#483—611no—
990#483—611no—
991#483—611no—
992#483—611no—
993#483C2×D6111yescharacteristic, complemented
994#479—611no—
995#479—611no—
996#479—611no—
997#479—611no—
998#479—611no—
999#479—611no—
1000#479—611no—
1001#479C2×D6111yescharacteristic, complemented
1002#470—611no—
1003#470—611no—
1004#470—611no—
1005#470—611no—
1006#470—611no—
1007#470—611no—
1008#470—611no—
1009#470C2×D6111yescharacteristic, complemented
1010#467—611no—
1011#467—611no—
1012#467—611no—
1013#467—611no—
1014#467—611no—
1015#467—611no—
1016#467—611no—
1017#467C2×D6111yescharacteristic, complemented
1018#462—611no—
1019#462—611no—
1020#462—611no—
1021#462—611no—
1022#462—611no—
1023#462—611no—
1024#462—611no—
1025#462C2×D6111yescharacteristic, complemented
1026#451—611no—
1027#451—611no—
1028#451—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#451—611no—
1033#451—611no—
1034#451—611no—
1035#451—611no—
1036#451—611no—
1037#451—611no—
1038#451—611no—
1039#451—611no—
1040#451C2×D6111yescharacteristic, complemented
1041#451C2×D6111yescharacteristic, complemented
1042#441—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#441—611no—
1047#441—611no—
1048#441—611no—
1049#441C2×D6111yescharacteristic, complemented
1050#435—611no—
1051#435—611no—
1052#435—611no—
1053#435—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435C2×D6111yescharacteristic
1058C2×#107—611no—
1059C2×#106—611no—
1060C2×#106—611no—
1061C2×C4⋊C8—611no—
1062#419—611no—
1063#419—611no—
1064#419—611no—
1065#419—611no—
1066#419—611no—
1067#419—611no—
1068#419—611no—
1069#419C2×D6111yescharacteristic, complemented
1070C2×#103—611no—
1071C2×#103—611no—
1072C2×#103—611no—
1073C2×#103—611no—
1074C2×#103—611no—
1075C2×#103—611no—
1076C2×#103—611no—
1077C2×#103—611no—
1078C2×#103—611no—
1079C2×#103—611no—
1080C2×#103—611no—
1081C2×#103—611no—
1082C2×#103—611no—
1083C2×#103—611no—
1084C2×#103—611no—
1085C2×#103—611no—
1086C2×#103—611no—
1087C2×#103C2×D6111yescharacteristic, complemented
1088C2×C22⋊C8—611no—
1089C2×C22⋊C8—611no—
1090C2×#97—611no—
1091C61C2×#331211yescharacteristic, complemented, Sylow
1092C22×Q8—611no—
1093C22×Q8—611no—
1094C22×Q8—611no—
1095C22×Q8—611no—
1096C22×Q8—611no—
1097C22×Q8—611no—
1098C22×Q8—611no—
1099C22×Q8—611no—
1100C22×Q8—611no—
1101C22×Q8—611no—
1102C22×Q8—1221no—
1103C22×Q8—1221no—
1104C22×Q8—1221no—
1105C22×Q8—1221no—
1106C22×Q8—1221no—
1107C22×Q8—1221no—
1108C22×Q8—1224no—
1109C22×Q8—1224no—
1110C22×Q8—2442no—
1111C22×Q8—2442no—
1112C22×Q8C22×D6111yescharacteristic
1113C22×Q8C22×D6111yescharacteristic
1114C22×D4—611no—
1115C23×C4—611no—
1116C23×C4—611no—
1117C23×C4—1221no—
1118C23×C4—1221no—
1119C23×C4—1221no—
1120C2×Q16—611no—
1121C2×Q16—611no—
1122C2×Q16—611no—
1123C2×Q16—611no—
1124C2×Q16—611no—
1125C2×Q16—611no—
1126C2×Q16—611no—
1127C2×Q16—611no—
1128C2×Q16—611no—
1129C2×Q16—1224no—
1130C2×Q16—2442no—
1131C2×Q16—2442no—
1132C2×Q16C22×D6111yescharacteristic
1133C2×Q16C22×D6111yescharacteristic
1134C2×Q16C22×D6111yescharacteristic
1135C2×M16—611no—
1136C2×M16—611no—
1137C2×M16—611no—
1138C2×M16—2442no—
1139C2×M16C22×D6111yescharacteristic
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8—611no—
1145C22×C8—611no—
1146C22×C8—611no—
1147C22×C8—2442no—
1148C22×C8C22×D6111yescharacteristic
1149C4⋊Q8—21no—
1150C4⋊Q8—611no—
1151C4⋊Q8—611no—
1152C4⋊Q8—611no—
1153C4⋊Q8—1221no—
1154C4⋊Q8—1221no—
1155C4⋊Q8—1221no—
1156C4⋊Q8—1221no—
1157C4⋊Q8—1221no—
1158C4⋊Q8—1221no—
1159C4⋊Q8—1221no—
1160C4⋊Q8—1221no—
1161C4⋊Q8—1221no—
1162C4⋊Q8C22×D6111yescharacteristic
1163#126—21no—
1164#126—1221no—
1165#126—1221no—
1166#126—1221no—
1167#126—1221no—
1168#126—1221no—
1169#126—1221no—
1170#126—1221no—
1171#125—21no—
1172#125—611no—
1173#125—611no—
1174#125—611no—
1175#125—1221no—
1176#125—1221no—
1177#125—1221no—
1178#125—1221no—
1179#125—1221no—
1180#125—1221no—
1181#125—1221no—
1182#125—1221no—
1183#125—1221no—
1184#125C22×D6111yescharacteristic
1185#123—21no—
1186#123—1221no—
1187#123—1221no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—611no—
1196C22⋊Q8—611no—
1197C22⋊Q8—611no—
1198C22⋊Q8—611no—
1199C22⋊Q8—611no—
1200C22⋊Q8—611no—
1201C22⋊Q8—611no—
1202C22⋊Q8—611no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8C22×D6111yescharacteristic
1230C22⋊Q8C22×D6111yescharacteristic
1231C22⋊Q8C22×D6111yescharacteristic
1232C22⋊Q8C22×D6111yescharacteristic
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—1221no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8C22×D6111yescharacteristic
1244C4×Q8C22×D6111yescharacteristic
1245C4×D4—21no—
1246C4×D4—611no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—611no—
1252C4×D4—611no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4C22×D6111yescharacteristic
1261#117—21no—
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—1221no—
1266#117—1221no—
1267#117—1221no—
1268#117—1221no—
1269#117—1221no—
1270#117—1221no—
1271#117—1221no—
1272#117—1221no—
1273#117—1221no—
1274#117C22×D6111yescharacteristic
1275C2×C4⋊C4—611no—
1276C2×C4⋊C4—611no—
1277C2×C4⋊C4—611no—
1278C2×C4⋊C4—611no—
1279C2×C4⋊C4—611no—
1280C2×C4⋊C4—611no—
1281C2×C4⋊C4—611no—
1282C2×C4⋊C4—611no—
1283C2×C4⋊C4—1221no—
1284C2×C4⋊C4—1221no—
1285C2×C4⋊C4—1221no—
1286C2×C4⋊C4—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C4⋊C4—1221no—
1289C2×C4⋊C4—1221no—
1290C2×C4⋊C4—1221no—
1291C2×C4⋊C4—1221no—
1292C2×C4⋊C4—1221no—
1293C2×C4⋊C4—1221no—
1294C2×C4⋊C4—1221no—
1295C2×C4⋊C4—1221no—
1296C2×C4⋊C4C22×D6111yescharacteristic
1297C2×C22⋊C4—611no—
1298C2×C22⋊C4—611no—
1299C2×C22⋊C4—1221no—
1300C2×C22⋊C4—1221no—
1301C2×C22⋊C4—1221no—
1302C2×C22⋊C4—1221no—
1303C2×C22⋊C4—1221no—
1304C2×C42—611no—
1305C2×C42—1221no—
1306C2×C42—1221no—
1307C2×C42—1221no—
1308#107—611no—
1309#107—611no—
1310#107—611no—
1311#107C22×D6111yescharacteristic
1312#106—611no—
1313#106—611no—
1314#106—611no—
1315#106—611no—
1316#106—611no—
1317#106—611no—
1318#106C22×D6111yescharacteristic
1319#106C22×D6111yescharacteristic
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8C22×D6111yescharacteristic
1324#103—611no—
1325#103—611no—
1326#103—611no—
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103C22×D6111yescharacteristic
1355#103C22×D6111yescharacteristic
1356#103C22×D6111yescharacteristic
1357#103C22×D6111yescharacteristic
1358#103C22×D6111yescharacteristic
1359#103C22×D6111yescharacteristic
1360#103C22×D6111yescharacteristic
1361#103C22×D6111yescharacteristic
1362#103C22×D6111yescharacteristic
1363#103C22×D6111yescharacteristic
1364C22⋊C8—611no—
1365C22⋊C8—611no—
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8C22×D6111yescharacteristic
1371C22⋊C8C22×D6111yescharacteristic
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375#97C22×D6111yescharacteristic
1376C24—611no—
1377C24—611no—
1378C2×Q8—21no—
1379C2×Q8—21no—
1380C2×Q8—22no—
1381C2×Q8—22no—
1382C2×Q8—41no—
1383C2×Q8—41no—
1384C2×Q8—614no—
1385C2×Q8—611no—
1386C2×Q8—611no—
1387C2×Q8—611no—
1388C2×Q8—611no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—1221no—
1392C2×Q8—1221no—
1393C2×Q8—1221no—
1394C2×Q8—1221no—
1395C2×Q8—1221no—
1396C2×Q8—1221no—
1397C2×Q8—1222no—
1398C2×Q8—1222no—
1399C2×Q8—1222no—
1400C2×Q8—1222no—
1401C2×Q8—1222no—
1402C2×Q8—1222no—
1403C2×Q8—1222no—
1404C2×Q8—1222no—
1405C2×Q8—1222no—
1406C2×Q8—1221no—
1407C2×Q8—1221no—
1408C2×Q8—1222no—
1409C2×Q8—1222no—
1410C2×Q8—1222no—
1411C2×Q8—1222no—
1412C2×Q8—2441no—
1413C2×Q8—2441no—
1414C2×Q8—2444no—
1415C2×Q8—2444no—
1416C2×Q8—2444no—
1417C2×Q8—2444no—
1418C2×Q8—2441no—
1419C2×Q8—2441no—
1420C2×Q8—2441no—
1421C2×Q8—2441no—
1422C2×Q8—2444no—
1423C2×Q8—2444no—
1424C2×Q8C23×D6111yescharacteristic
1425C2×Q8C23×D6111yescharacteristic
1426C2×Q8C23×D6111yescharacteristic
1427C2×Q8C23×D6111yescharacteristic
1428C2×D4—611no—
1429C2×D4—611no—
1430C2×D4—611no—
1431C2×D4—1224no—
1432C2×D4D4×D6111yescharacteristic
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—611no—
1441C22×C4—611no—
1442C22×C4—611no—
1443C22×C4—611no—
1444C22×C4—611no—
1445C22×C4—611no—
1446C22×C4—611no—
1447C22×C4—1222no—
1448C22×C4—1222no—
1449C22×C4—1222no—
1450C22×C4—1222no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4—1221no—
1465C22×C4—1221no—
1466C22×C4—1221no—
1467C22×C4—1221no—
1468C22×C4—2444no—
1469C22×C4—2444no—
1470C22×C4—2444no—
1471C22×C4C23×D6111yescharacteristic
1472C22×C4C23×D6111yescharacteristic
1473Q16—22no—
1474Q16—41no—
1475Q16—41no—
1476Q16—1222no—
1477Q16—1222no—
1478Q16—1222no—
1479Q16—2441no—
1480Q16—2441no—
1481Q16—2441no—
1482Q16—2441no—
1483Q16—2441no—
1484Q16—2441no—
1485M16—41no—
1486M16—2441no—
1487M16—2441no—
1488M16—2441no—
1489C2×C8—41no—
1490C2×C8—611no—
1491C2×C8—611no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—1222no—
1495C2×C8—1222no—
1496C2×C8—1222no—
1497C2×C8—1222no—
1498C2×C8—2441no—
1499C2×C8—2441no—
1500C2×C8—2441no—
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C2×C8C23×D6111yescharacteristic
1504C2×C8C23×D6111yescharacteristic
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
1520C4⋊C4—611no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4—1221no—
1549C4⋊C4—1221no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4D4×D6111yescharacteristic
1561C4⋊C4C23×D6111yescharacteristic
1562C4⋊C4C23×D6111yescharacteristic
1563C4⋊C4C23×D6111yescharacteristic
1564C4⋊C4C23×D6111yescharacteristic
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—611no—
1571C22⋊C4—611no—
1572C22⋊C4—611no—
1573C22⋊C4—611no—
1574C22⋊C4—611no—
1575C22⋊C4—611no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4D4×D6111yescharacteristic
1592C22⋊C4D4×D6111yescharacteristic
1593C42—21no—
1594C42—21no—
1595C42—21no—
1596C42—611no—
1597C42—611no—
1598C42—611no—
1599C42—1221no—
1600C42—1221no—
1601C42—1221no—
1602C42—1221no—
1603C42—1221no—
1604C42—1221no—
1605C42—1221no—
1606C42—1221no—
1607C42—1221no—
1608C42C23×D6111yescharacteristic
1609C23—611no—
1610C23—614no—
1611C23—611no—
1612C23—611no—
1613C23—1222no—
1614C23—1222no—
1615C23—1222no—
1616C23—1222no—
1617C23—1222no—
1618C23C2×D4×D6111yescharacteristic
1619C23C2×D4×D6111yescharacteristic
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—42no—
1628Q8—42no—
1629Q8—612no—
1630Q8—1224no—
1631Q8—1221no—
1632Q8—1221no—
1633Q8—1221no—
1634Q8—1221no—
1635Q8—1221no—
1636Q8—1221no—
1637Q8—1221no—
1638Q8—2442no—
1639Q8—2442no—
1640Q8—2442no—
1641Q8—2442no—
1642Q8—2442no—
1643Q8—2442no—
1644Q8—2442no—
1645Q8—2442no—
1646Q8—2442no—
1647Q8#41×D6112yes—
1648D4—22no—
1649D4—1222no—
1650D4—1222no—
1651D4—1222no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—611no—
1668C2×C4—612no—
1669C2×C4—612no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—611no—
1673C2×C4—611no—
1674C2×C4—1222no—
1675C2×C4—1222no—
1676C2×C4—1222no—
1677C2×C4—1222no—
1678C2×C4—1222no—
1679C2×C4—1222no—
1680C2×C4—1224no—
1681C2×C4—1222no—
1682C2×C4—1222no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—2442no—
1696C2×C4—2442no—
1697C2×C4—2442no—
1698C2×C4—2442no—
1699C2×C4—2442no—
1700C2×C4—2442no—
1701C2×C4—2442no—
1702C2×C4—2442no—
1703C2×C4—2442no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4—2442no—
1709C2×C4—2442no—
1710C2×C4—2442no—
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C2×D4×D6111yescharacteristic
1714C2×C4C2×D4×D6111yescharacteristic
1715C2×C4C24×D6111yescharacteristic
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—1221no—
1721C8—1221no—
1722C8—1221no—
1723C8—1221no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—612no—
1730C22—612no—
1731C22—612no—
1732C22—612no—
1733C22—1228no—
1734C22—1221no—
1735C22—1221no—
1736C22—1221no—
1737C22—1221no—
1738C22—1221no—
1739C22—2444no—
1740C22#137×D6112yes—
1741C22C22×D4×D6111yescharacteristic
1742C4—21no—
1743C4—21no—
1744C4—22no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—612no—
1755C4—1221no—
1756C4—1221no—
1757C4—1222no—
1758C4—1221no—
1759C4—1221no—
1760C4—2441no—
1761C4—2441no—
1762C4—2441no—
1763C4—2441no—
1764C4—2441no—
1765C4—2441no—
1766C4—2441no—
1767C4C2×#41×D6111yescharacteristic
1768C4H(5,𝔽2)×D6111yescharacteristic
1769C2—22no—
1770C2—41no—
1771C2—614no—
1772C2—1222no—
1773C2—2441no—
1774C2#546×D6111yescharacteristic
1775C2C2×#137×D6111yescharacteristic
1776C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3312C2
socleC22×C61C23×D4
prime radicalC2×D4×D61D4
hypercenter#3312D61
hypocenterC61C2×#3312
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
3. #21457877C2semidirect
4. #21457876C2semidirect
5. #21457875C2semidirect
6. #21457874C2semidirect
7. #21457873C2semidirect
8. #21457872C2semidirect
9. #21457871C2semidirect
10. #21457870C2semidirect
11. #21457869C2semidirect
12. #21457868C2semidirect
13. #21457867C2semidirect
14. #21457866C2semidirect
15. #21457865C2semidirect
16. #21457864C2semidirect
17. #21457863C2semidirect
18. #491×D61C2semidirect
19. #485×D61C2semidirect
20. #483×D61C2semidirect
21. #479×D61C2semidirect
22. #470×D61C2semidirect
23. #467×D61C2semidirect
24. #462×D61C2semidirect
25. #451×D61C2semidirect
26. #451×D61C2semidirect
27. #441×D61C2semidirect
29. #419×D61C2semidirect
30. C2×#103×D61C2semidirect
31. C61×#3312C2semidirect
80. #16840132C22semidirect
81. #16840131C22semidirect
82. #16840130C22semidirect
83. #16840129C22semidirect
84. #16840129C22semidirect
85. #16840129C22semidirect
86. #16840129C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840103C22semidirect
91. #16840102C22semidirect
92. #16840101C22semidirect
93. #16840100C22semidirect
94. #16840094C22semidirect
95. #16840094C22semidirect
96. #16840093C22semidirect
97. #16840092C22semidirect
98. #16840091C22semidirect
99. #16840091C22semidirect
100. #16840090C22semidirect
101. #16840072C22semidirect
102. #16840071C22semidirect
103. #16840070C22semidirect
104. #16840069C22semidirect
105. #16840068C22semidirect
106. #16840067C22semidirect
107. #16840066C22semidirect
108. #16840021C22semidirect
109. #16840020C22semidirect
110. #16840019C22semidirect
111. #16840019C22semidirect
112. #16840018C22semidirect
113. #16840018C22semidirect
114. #16840017C22semidirect
115. #16840004C22semidirect
116. #16840003C22semidirect
117. #16840002C22semidirect
118. #16840002C22semidirect
119. #16840001C22semidirect
120. #16840001C22semidirect
121. #16840000C22semidirect
122. #16839973C22semidirect
123. #16839972C22semidirect
124. #16839971C22semidirect
125. #16839971C22semidirect
126. #16839970C22semidirect
127. #16839970C22semidirect
128. #16839969C22semidirect
129. #16839920C22semidirect
130. #16839920C22semidirect
131. #16839919C22semidirect
132. #16839919C22semidirect
133. #16839919C22semidirect
134. #16839919C22semidirect
135. #16839918C22semidirect
136. #16839918C22semidirect
137. #16839917C22semidirect
138. #16839917C22semidirect
139. #16839916C22semidirect
140. #16839916C22semidirect
141. #16839916C22semidirect
142. #16839916C22semidirect
143. #16839870C22semidirect
144. #16839869C22semidirect
145. #16839868C22semidirect
146. #16839867C22semidirect
147. #16839867C22semidirect
148. #16839866C22semidirect
149. #16839866C22semidirect
161. #16839772C22semidirect
162. #16839771C22semidirect
163. #16839770C22semidirect
164. #16839769C22semidirect
165. #16839769C22semidirect
166. #16839769C22semidirect
167. #16839769C22semidirect
168. C2×#14519702C22semidirect
169. C2×#14519701C22semidirect
170. C2×#14519700C22semidirect
181. #103×D61C22semidirect
182. #103×D61C22semidirect
183. #103×D61C22semidirect
184. #103×D61C22semidirect
190. C61×#491C22semidirect
191. C61×#485C22semidirect
192. C61×#483C22semidirect
193. C61×#479C22semidirect
194. C61×#470C22semidirect
195. C61×#467C22semidirect
196. C61×#462C22semidirect
197. C61×#451C22semidirect
198. C61×#451C22semidirect
199. C61×#441C22semidirect
201. C61×#419C22semidirect
202. C2×#103×C61C22semidirect
898. #3312D61direct (N × H)
919. D61#3312direct (N × H)
977. #491C2×D61semidirect
985. #485C2×D61semidirect
993. #483C2×D61semidirect
1001. #479C2×D61semidirect
1009. #470C2×D61semidirect
1017. #467C2×D61semidirect
1025. #462C2×D61semidirect
1040. #451C2×D61semidirect
1041. #451C2×D61semidirect
1049. #441C2×D61semidirect
1069. #419C2×D61semidirect
1087. C2×#103C2×D61semidirect
1091. C61C2×#3312semidirect

Maximal subgroups

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

subgroupindex
#552×D612
D4×Q8×D612
#214578772
#214578762
#214578752
#214578742
#214578732
#214578722
#214578712
#214578702
#214578692
#214578682
#214578672
#214578662
#214578652
#214578642
#214578632
#491×D612
#485×D612
#483×D612
#479×D612
#470×D612
#467×D612
#462×D612
#451×D612
#441×D612
#435×D612
#419×D612
C2×#103×D612
C61×#33122
C2×#331261