Finite Group Databasebeta

← #30556966

Subgroups — #30556966

Order 15616.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459378C211yesmaximal, characteristic, complemented
2#21459308C211yesmaximal, characteristic, complemented
3#21458153C211yesmaximal, characteristic, complemented
4#21458139C211yesmaximal, characteristic, complemented
5#21458133C211yesmaximal, characteristic, complemented
6#21458119C211yesmaximal, characteristic, complemented
7#21458106C211yesmaximal, characteristic, complemented
8#21458098C211yesmaximal, characteristic, complemented
9#21458087C211yesmaximal, characteristic, complemented
10#21458084C211yesmaximal, characteristic, complemented
11#21458077C211yesmaximal, characteristic, complemented
12#21458056C211yesmaximal, characteristic, complemented
13#21458048C211yesmaximal, characteristic, complemented
14#21458037C211yesmaximal, characteristic, complemented
15#21458034C211yesmaximal, characteristic, complemented
16#21458027C211yesmaximal, characteristic, complemented
17#21458014C211yesmaximal, characteristic, complemented
18#21456140C211yesmaximal, characteristic, complemented
19#21455733C211yesmaximal, characteristic, complemented
20#21455731C211yesmaximal, characteristic, complemented
21#21455606C211yesmaximal, characteristic, complemented
22#21455426C211yesmaximal, characteristic, complemented
23#21455423C211yesmaximal, characteristic, complemented
24#21455271C211yesmaximal, characteristic, complemented
25#21455036C211yesmaximal, characteristic, complemented
26#21455034C211yesmaximal, characteristic, complemented
27C4×#14519798C211yesmaximal, characteristic, complemented
28#436×D61C211yesmaximal, characteristic, complemented
29#21454337C211yesmaximal, characteristic, complemented
30#21454335C211yesmaximal, characteristic, complemented
31C61×#3326C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35C2×#14519798C2211yescharacteristic, complemented
36C2×#14519796C2211yescharacteristic, complemented
37C2×M16×D61C2211yescharacteristic, complemented
38C2×M16×D61C2211yescharacteristic, complemented
39#16840480C2211yescharacteristic
40#16840476C2211yescharacteristic
41#16840467C2211yescharacteristic, complemented
42#16840462C2211yescharacteristic, complemented
43#16840452C2211yescharacteristic, complemented
44#16840450C2211yescharacteristic, complemented
45#16840448—21no—
46#16840441—21no—
47#16840440—21no—
48#16840431C2211yescharacteristic
49Q8×C22⋊D61C2211yescharacteristic
50#16840424C2211yescharacteristic
51#16840414—21no—
52#16840414C2211yescharacteristic
53#16840412C2211yescharacteristic, complemented
54#16840408—21no—
55#16840408C2211yescharacteristic
56#16840405—21no—
57#16840405C2211yescharacteristic
58#16840401—21no—
59#16840396—21no—
60#16840396C2211yescharacteristic
61#16840318C2211yescharacteristic, complemented
62#16840311—21no—
63#16840311C2211yescharacteristic
64#16840295—21no—
65#16840293—21no—
66#16840289—21no—
67#16840275—21no—
68#16840275C2211yescharacteristic
69#16840272—21no—
70#16840272C2211yescharacteristic
71#16840272C2211yescharacteristic, complemented
72#16840272C2211yescharacteristic, complemented
73C4×#11758226C2211yescharacteristic
74C4×#11758224—21no—
75C4×#11758224C2211yescharacteristic, complemented
76C4×D4×D61—21no—
77C4×D4×D61C2211yescharacteristic
78C2×#14519735C2211yescharacteristic, complemented
79#117×D61C2211yescharacteristic, complemented
80#16840119C2211yescharacteristic, complemented
81#16840117C2211yescharacteristic, complemented
82#16840116C2211yescharacteristic, complemented
83#16840111C2211yescharacteristic, complemented
84#16840111C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic, complemented
87#16840104C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840101C2211yescharacteristic, complemented
91#16840099C2211yescharacteristic, complemented
92#16840095C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840088C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic, complemented
97#16840081C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840069C2211yescharacteristic, complemented
102#16840063C2211yescharacteristic, complemented
103#16840059C2211yescharacteristic, complemented
104#16840055C2211yescharacteristic, complemented
105#16840051C2211yescharacteristic, complemented
106#16840045C2211yescharacteristic, complemented
107#16840041C2211yescharacteristic, complemented
108#16840021C2211yescharacteristic, complemented
109#16840020C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840018C2211yescharacteristic, complemented
112#16840014C2211yescharacteristic, complemented
113#16840013C2211yescharacteristic, complemented
114#16840012C2211yescharacteristic, complemented
115#16840009C2211yescharacteristic, complemented
116#16840008C2211yescharacteristic, complemented
117#16840007C2211yescharacteristic, complemented
118#16840007C2211yescharacteristic, complemented
119#16840006C2211yescharacteristic, complemented
120#16840006C2211yescharacteristic, complemented
121#16840005C2211yescharacteristic, complemented
122#16839985C2211yescharacteristic, complemented
123#16839981C2211yescharacteristic, complemented
124#16839977C2211yescharacteristic, complemented
125#16839971C2211yescharacteristic, complemented
126#16839965C2211yescharacteristic, complemented
127#16839961C2211yescharacteristic, complemented
128#16839955C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839927C2211yescharacteristic, complemented
131#16839926C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839919C2211yescharacteristic, complemented
134#16839918C2211yescharacteristic, complemented
135#16839915C2211yescharacteristic, complemented
136#16839914C2211yescharacteristic, complemented
137#16839906C2211yescharacteristic, complemented
138#16839906C2211yescharacteristic, complemented
139#16839905C2211yescharacteristic, complemented
140#16839899C2211yescharacteristic, complemented
141#16839895C2211yescharacteristic, complemented
142#16839894C2211yescharacteristic, complemented
143C4×#11758202C2211yescharacteristic, complemented
144#16839854C2211yescharacteristic, complemented
145C4×#11758190C2211yescharacteristic, complemented
146SD16×Dic61C2211yescharacteristic, complemented
147#16839849C2211yescharacteristic, complemented
148C4×#11758199C2211yescharacteristic, complemented
149#16839842C2211yescharacteristic, complemented
150#16839841C2211yescharacteristic, complemented
151#16839840C2211yescharacteristic, complemented
152#16839839C2211yescharacteristic, complemented
153#16839838C2211yescharacteristic
154#16839838C2211yescharacteristic, complemented
155#16839837C2211yescharacteristic
156#16839837C2211yescharacteristic, complemented
157#16839799C2211yescharacteristic, complemented
158#16839797C2211yescharacteristic, complemented
159#16839797C2211yescharacteristic, complemented
160C4⋊C8×D61C2211yescharacteristic, complemented
161#16839771C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839769C2211yescharacteristic, complemented
164#16839768C2211yescharacteristic, complemented
165#16839766C2211yescharacteristic, complemented
166#16839765C2211yescharacteristic, complemented
167#16839765C2211yescharacteristic, complemented
168#16839764C2211yescharacteristic, complemented
169#16839763C2211yescharacteristic, complemented
170#16839762C2211yescharacteristic, complemented
171#16839762C2211yescharacteristic, complemented
172#16839762C2211yescharacteristic, complemented
173#16839762C2211yescharacteristic, complemented
174#16839761C2211yescharacteristic, complemented
175#16839757C2211yescharacteristic
176#16839757C2211yescharacteristic
177#16839757C2211yescharacteristic
178#16839757C2211yescharacteristic, complemented
179#16839757C2211yescharacteristic, complemented
180#16839757C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic, complemented
182#16839755C2211yescharacteristic, complemented
183#16839755C2211yescharacteristic, complemented
184#16839755C2211yescharacteristic, complemented
185C22⋊C8×D61C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#553C2211yescharacteristic, complemented
189C61×#548C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#448C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C61×#436C2211yescharacteristic, complemented
201C61×#419C2211yescharacteristic, complemented
202C61×#417C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226—21no—
205C2×#11758226—24no—
206C2×#11758226—42no—
207C2×#11758226C2311yescharacteristic
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758222—21no—
212C2×#11758222C2311yescharacteristic
213C2×#11758224—21no—
214C2×#11758224—21no—
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217#41×D61—24no—
218#41×D61—42no—
219C2×Q8×D61C2311yescharacteristic
220C22×D244—21no—
221C22×D244C2311yescharacteristic
222C2×D4×D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61D411yescharacteristic
225C2×D4×D61C2311yescharacteristic
226C22×C4×D61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519798—24no—
231#14519798—42no—
232#14519796—42no—
233C2×Dic244C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758202C2311yescharacteristic
236C2×#11758190C2311yescharacteristic
237C2×#11758190C2311yescharacteristic
238C2×#11758200C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758194C2311yescharacteristic
243C2×#11758194C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248M16×D61—42no—
249M16×D61—42no—
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519776C2311yescharacteristic
255#14519776C2311yescharacteristic
256#14519775—21no—
257#14519775C2311yescharacteristic
258#14519773—21no—
259#14519773C2311yescharacteristic
260#14519772—21no—
261#14519771—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770—21no—
265#14519769C2311yescharacteristic
266#14519768—21no—
267#14519767—21no—
268#14519767—21no—
269#14519765—21no—
270#14519765C2311yescharacteristic
271#14519764—21no—
272#14519763—21no—
273#14519763—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519760—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519758—21no—
286#14519758—21no—
287#14519757—21no—
288#14519757C2311yescharacteristic
289#14519757C2311yescharacteristic
290#14519757C2311yescharacteristic
291#14519756—21no—
292#14519756—21no—
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519756C2311yescharacteristic
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519754—21no—
300#14519753—21no—
301#14519753C2311yescharacteristic
302#14519752—21no—
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519749—21no—
314#14519748—21no—
315#14519748C2311yescharacteristic
316#14519748C2311yescharacteristic
317#14519748C2311yescharacteristic
318#14519747—21no—
319#14519747—21no—
320#14519747—21no—
321#14519745—21no—
322#14519745—21no—
323#14519745—21no—
324#14519745—21no—
325#14519745—21no—
326Q8×Dic61C2311yescharacteristic
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742—21no—
331#14519742C2311yescharacteristic
332C4×D244—21no—
333C4×D244—21no—
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336D4×Dic61—21no—
337D4×Dic61—21no—
338D4×Dic61—21no—
339D4×Dic61D411yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739—21no—
342#14519739—21no—
343#14519739D411yescharacteristic
344#14519739C2311yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61C2311yescharacteristic
351C4×C22⋊D61C2311yescharacteristic
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737D411yescharacteristic
360#14519737D411yescharacteristic
361#14519736C2311yescharacteristic
362#14519735—21no—
363#14519735—21no—
364#14519735—21no—
365#14519735—21no—
366#14519735C2311yescharacteristic
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519734—21no—
373#14519733—21no—
374#14519733—21no—
375#14519733—21no—
376#14519733—21no—
377C2×C4⋊Dic61C2311yescharacteristic
378C4⋊C4×D61—21no—
379C4⋊C4×D61D411yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C2×#11758198—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61D411yescharacteristic
387C22⋊C4×D61D411yescharacteristic
388C2×C4×Dic61—21no—
389C2×C4×Dic61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441C4×#92418C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×Q8×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C2×M16×C61C2311yescharacteristic
451#126×C61—21no—
452#125×C61C2311yescharacteristic
453#124×C61—21no—
454#124×C61C2311yescharacteristic
455#123×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61—21no—
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
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#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486C4×C8×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61—21no—
489C23×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491#41×C61—22no—
492#41×C61—41no—
493C2×Q8×C61—21no—
494C2×Q8×C61—22no—
495C2×Q8×C61—41no—
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61C2×D411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61C2411yescharacteristic
510C22×C4×C61C2411yescharacteristic
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61C2×D411yescharacteristic
522C2×C22⋊D61C2×D411yescharacteristic
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61C2×D411yescharacteristic
528C22×Dic61C2×D411yescharacteristic
529#11758226—22no—
530#11758226—22no—
531#11758226—22no—
532#11758226—22no—
533#11758226—22no—
534#11758226—44no—
535#11758226—41no—
536#11758226—41no—
537#11758226—44no—
538#11758226#4114yescomplemented
539Q8×D61—22no—
540Q8×D61—41no—
541#11758224—22no—
542#11758224—22no—
543#11758224—22no—
544#11758224—22no—
545#11758224—44no—
546#11758224—44no—
547D4×D61—22no—
548D4×D61—41no—
549D4×D61—42no—
550D4×D61—44no—
551D4×D61—44no—
552#11758222—22no—
553#11758222—41no—
554#11758222—44no—
555C2×D244—21no—
556C2×D244—22no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244—21no—
560C2×D244—21no—
561C2×D244—21no—
562C2×D244—41no—
563C2×D244—44no—
564C2×D244C2×D411yescharacteristic
565C2×D244C2411yescharacteristic
566C2×D244C2411yescharacteristic
567C2×C4×D61—21no—
568C2×C4×D61—22no—
569C2×C4×D61—22no—
570C2×C4×D61—22no—
571C2×C4×D61—22no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—44no—
582C2×C4×D61—44no—
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2×D411yescharacteristic
588C2×C4×D61C2×D411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×C4×D61C2411yescharacteristic
591C2×C4×D61C2411yescharacteristic
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122—21no—
595C2×Dic122C2411yescharacteristic
596C2×Dic122C2411yescharacteristic
597SD16×C61—22no—
598SD16×C61—41no—
599D8×C61—41no—
600M16×C61—41no—
601M16×C61—41no—
602C2×C8×C61C2411yescharacteristic
603C2×C8×C61C2411yescharacteristic
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61C2×D411yescharacteristic
625C22⋊C4×C61C2×D411yescharacteristic
626C42×C61—21no—
627C42×C61—21no—
628C42×C61C2411yescharacteristic
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61C2×D411yescharacteristic
638C22⋊Dic61C2×D411yescharacteristic
639#11758202—22no—
640#11758202—41no—
641#11758200—41no—
642#11758200—41no—
643#11758199—22no—
644#11758199—41no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198C2×D411yescharacteristic
662#11758198C2×D411yescharacteristic
663#11758198C2×D411yescharacteristic
664#11758198C2×D411yescharacteristic
665C4⋊Dic61—21no—
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61C2×D411yescharacteristic
671C4⋊Dic61C2411yescharacteristic
672C4⋊Dic61C2411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
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×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705#11758194—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710Dic244—41no—
711#11758190—22no—
712#11758190—41no—
713#11758189—41no—
714#11758189—41no—
715#11758189—41no—
716#11758189—41no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—22no—
720C8×D61—22no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61C22×D411yescharacteristic
724C23×C61C22×D411yescharacteristic
725C22×D61—21no—
726C22×D61—22no—
727C22×D61—22no—
728C22×D61—21no—
729C22×D61—41no—
730C22×D61—41no—
731C22×D61—41no—
732C22×D61—41no—
733C22×D61—42no—
734C22×D61—42no—
735C22×D61—42no—
736C22×D61—42no—
737C22×D61—81no—
738C22×D61—81no—
739C22×D61C22×D411yescharacteristic
740C22×D61C22×D411yescharacteristic
741C22×D61C22×D411yescharacteristic
742Q8×C61—21no—
743Q8×C61—21no—
744Q8×C61—21no—
745Q8×C61—42no—
746Q8×C61C2×#4112yes—
747D4×C61—21no—
748D4×C61—21no—
749D4×C61—21no—
750D4×C61—21no—
751D4×C61—41no—
752D4×C61—42no—
753D4×C61—42no—
754D4×C61—42no—
755D4×C61—81no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—42no—
767C2×C4×C61—42no—
768C2×C4×C61—81no—
769C2×C4×C61—81no—
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C2511yescharacteristic
775C22⋊D61—22no—
776C22⋊D61—22no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—81no—
784C22⋊D61—81no—
785C22⋊D61—81no—
786C22⋊D61—81no—
787C2×Dic61—22no—
788C2×Dic61—22no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—42no—
796C2×Dic61—42no—
797C2×Dic61—42no—
798C2×Dic61—42no—
799C2×Dic61C22×D411yescharacteristic
800C2×Dic61C22×D411yescharacteristic
801C2×Dic61C22×D411yescharacteristic
802C2×Dic61C22×D411yescharacteristic
803C2×Dic61C22×D411yescharacteristic
804D244—24no—
805D244—21no—
806D244—21no—
807D244—21no—
808D244—41no—
809D244—42no—
810D244—42no—
811D244—42no—
812D244—42no—
813D244—42no—
814D244C2×#4112yes—
815C4×D61—22no—
816C4×D61—22no—
817C4×D61—21no—
818C4×D61—21no—
819C4×D61—21no—
820C4×D61—21no—
821C4×D61—22no—
822C4×D61—22no—
823C4×D61—24no—
824C4×D61—22no—
825C4×D61—41no—
826C4×D61—42no—
827C4×D61—42no—
828C4×D61—42no—
829C4×D61—42no—
830C4×D61—42no—
831C4×D61—42no—
832C4×D61—42no—
833C4×D61—81no—
834C4×D61—81no—
835C4×D61C2×#4112yes—
836C4×D61H(5,𝔽2)12yes—
837Dic122—21no—
838Dic122—21no—
839Dic122—21no—
840Dic122—21no—
841Dic122—42no—
842Dic122—42no—
843Dic122—81no—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61154—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—21no—
856C22×C61—21no—
857C22×C61—21no—
858C22×C61—21no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61C23×D411yescharacteristic
866C2×D61—21no—
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—22no—
873C2×D61—21no—
874C2×D61—21no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—82no—
881C2×D61—82no—
882C2×D61—84no—
883C2×D61—84no—
884C2×D61#54612yes—
885C4×C61—21no—
886C4×C61—22no—
887C4×C61—21no—
888C4×C61—21no—
889C4×C61—21no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895C4×C61C22×#4111yescharacteristic
896C4×C61C2×H(5,𝔽2)11yescharacteristic
897Dic61—21no—
898Dic61—21no—
899Dic61—21no—
900Dic61—41no—
901Dic61—41no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61#54612yes—
907Dic61#57512yes—
908#3475—611no—
909D4×#41—611no—
910#3333—611no—
911#3332—611no—
912#3331—611no—
913#3330—611no—
914#3329—611no—
915#3328—611no—
916#3327—611no—
917#3327—611no—
918#3326—611no—
919#3326D6111yescharacteristic, complemented
920#3325—611no—
921#3324—611no—
922#3323—611no—
923#3323—611no—
924#3322—611no—
925#3322—611no—
926#3131—611no—
927#3091—611no—
928#3091—611no—
929#3076—611no—
930#3054—611no—
931#3054—611no—
932#3035—611no—
933#3002—611no—
934#3002—611no—
935C4×#135—611no—
936C2×#436—611no—
937#2896—611no—
938#2896—611no—
939C2×C61—41no—
940C2×C61—41no—
941C2×C61—81no—
942C2×C61—81no—
943C2×C61C2×#54611yescharacteristic
944C2×C61C2×#57511yescharacteristic
945C2×C61#358411yescharacteristic
946D61—22no—
947D61—41no—
948D61—41no—
949D61—42no—
950D61—81no—
951C22×#41—611no—
952C22×#41—611no—
953C2×#135—611no—
954C2×#135—611no—
955C2×#135—611no—
956C22×M16—611no—
957C22×M16—611no—
958#556—611no—
959#555—611no—
960#554—611no—
961#553—611no—
962#553C2×D6111yescharacteristic, complemented
963#552—611no—
964#552—611no—
965#552—1221no—
966#551—1221no—
967#551—1221no—
968#550—611no—
969D4×Q8—611no—
970#548—611no—
971#548C2×D6111yescharacteristic
972#547—611no—
973#547—611no—
974#547—1221no—
975#546—611no—
976#546—611no—
977#546—1221no—
978#546—1221no—
979#546—1221no—
980D42—611no—
981D42—1221no—
982#533—611no—
983#532—611no—
984#532—1221no—
985#529—1221no—
986#529—1221no—
987#529—1221no—
988#525—611no—
989#525—611no—
990#525—611no—
991#525—611no—
992#525—1221no—
993#525—1221no—
994C4×#41—611no—
995C4×#41—611no—
996C4×#41—1221no—
997C2×C4×D4—611no—
998C2×C4×D4—1221no—
999C2×#117—611no—
1000C2×#117—611no—
1001#488—611no—
1002#488—611no—
1003#488—611no—
1004#488C2×D6111yescharacteristic, complemented
1005#487—611no—
1006#487—611no—
1007#486—611no—
1008#486—611no—
1009#485—611no—
1010#485—611no—
1011#485—611no—
1012#485—611no—
1013#484—611no—
1014#484—611no—
1015#483—611no—
1016#483C2×D6111yescharacteristic, complemented
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#482C2×D6111yescharacteristic, complemented
1021#481—611no—
1022#481—611no—
1023#480—611no—
1024#480—611no—
1025#479—611no—
1026#479C2×D6111yescharacteristic, complemented
1027#478—611no—
1028#478—611no—
1029#477—611no—
1030#476—611no—
1031#475—611no—
1032#474—611no—
1033#470—611no—
1034#470—611no—
1035#470—611no—
1036#470—611no—
1037#469—611no—
1038#469—611no—
1039#469—611no—
1040#469C2×D6111yescharacteristic, complemented
1041#468—611no—
1042#468—611no—
1043#468—611no—
1044#468—611no—
1045#468—611no—
1046#468—611no—
1047#468—611no—
1048#468C2×D6111yescharacteristic, complemented
1049#464—611no—
1050#464—611no—
1051#463—611no—
1052#463C2×D6111yescharacteristic, complemented
1053#462—611no—
1054#461—611no—
1055#460—611no—
1056#459—611no—
1057#452—611no—
1058#452—611no—
1059#452—611no—
1060#452—611no—
1061#451—611no—
1062#451—611no—
1063#450—611no—
1064#450—611no—
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#449C2×D6111yescharacteristic, complemented
1069#448—611no—
1070#448C2×D6111yescharacteristic, complemented
1071#447—611no—
1072#447—611no—
1073C4×Q16—611no—
1074C4×Q16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16—611no—
1078C4×SD16C2×D6111yescharacteristic, complemented
1079C4×D8—611no—
1080C4×D8—611no—
1081#436—611no—
1082#436—611no—
1083#436—611no—
1084#436—611no—
1085#436—611no—
1086#436—611no—
1087#436—611no—
1088#436C2×D6111yescharacteristic, complemented
1089#427—611no—
1090#427—611no—
1091#427—611no—
1092C2×C4⋊C8—611no—
1093#419—611no—
1094#419—611no—
1095#419—611no—
1096#419C2×D6111yescharacteristic, complemented
1097#418—611no—
1098#418—611no—
1099#418—611no—
1100#418—611no—
1101#417—611no—
1102#417—611no—
1103#417—611no—
1104#417—611no—
1105#417—611no—
1106#417—611no—
1107#417—611no—
1108#417C2×D6111yescharacteristic, complemented
1109#416—611no—
1110#416—611no—
1111#416—611no—
1112#416—611no—
1113#416—611no—
1114#416—611no—
1115#416—611no—
1116#416—611no—
1117#416—611no—
1118#416—611no—
1119C2×C22⋊C8—611no—
1120C2×C22⋊C8—611no—
1121C2×C4×C8—611no—
1122C61#6115411yescharacteristic, complemented, Sylow
1123C2×#41—611no—
1124C2×#41—611no—
1125C2×#41—611no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—1221no—
1131C2×#41—1221no—
1132C2×#41—1221no—
1133C2×#41—1221no—
1134C2×#41—1221no—
1135C2×#41—1224no—
1136C2×#41—1224no—
1137C2×#41—2442no—
1138C2×#41—2442no—
1139C2×#41C22×D6111yescharacteristic
1140C22×Q8—611no—
1141C22×Q8C22×D6111yescharacteristic
1142C22×D4—611no—
1143C22×D4—611no—
1144C22×D4—611no—
1145C22×D4—1221no—
1146C22×D4—1221no—
1147C22×D4—1221no—
1148C23×C4—611no—
1149C23×C4—611no—
1150C23×C4—1221no—
1151C23×C4—1221no—
1152#135—1224no—
1153#135—2442no—
1154#135—2442no—
1155C2×Q16—611no—
1156C2×Q16—611no—
1157C2×Q16—611no—
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16—611no—
1162C2×SD16C22×D6111yescharacteristic
1163C2×SD16C22×D6111yescharacteristic
1164C2×D8—611no—
1165C2×D8—611no—
1166C2×D8C22×D6111yescharacteristic
1167C2×M16—611no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16—611no—
1171C2×M16—611no—
1172C2×M16—611no—
1173C2×M16—2442no—
1174C2×M16—2442no—
1175C2×M16C22×D6111yescharacteristic
1176C2×M16C22×D6111yescharacteristic
1177C22×C8—611no—
1178C22×C8—611no—
1179C22×C8—611no—
1180C22×C8—611no—
1181C4⋊Q8—611no—
1182C4⋊Q8—611no—
1183C4⋊Q8—611no—
1184C4⋊Q8—1221no—
1185#127—611no—
1186#127—1221no—
1187#126—21no—
1188#126—1221no—
1189#126—1221no—
1190#126—1221no—
1191#126—1221no—
1192#126—1221no—
1193#125—611no—
1194#125—1221no—
1195#125—1221no—
1196#125—1221no—
1197#125C22×D6111yescharacteristic
1198#124—21no—
1199#124—611no—
1200#124—1221no—
1201#124—1221no—
1202#124—1221no—
1203#124—1221no—
1204#124C22×D6111yescharacteristic
1205#123—21no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216#123—1221no—
1217#123—1221no—
1218#123—1221no—
1219C22⋊Q8—21no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—611no—
1226C22⋊Q8—611no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8—1221no—
1235C22⋊Q8C22×D6111yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121C22×D6111yescharacteristic
1255#121C22×D6111yescharacteristic
1256#121C22×D6111yescharacteristic
1257#120—1221no—
1258#120—1221no—
1259#120—1221no—
1260#120—1221no—
1261#120—1221no—
1262#120—1221no—
1263#120—1221no—
1264#120—1221no—
1265C4×Q8—611no—
1266C4×Q8—611no—
1267C4×Q8—611no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8—1221no—
1271C4×Q8C22×D6111yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—611no—
1282C4×D4—611no—
1283C4×D4—611no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4C22×D6111yescharacteristic
1304C4×D4C22×D6111yescharacteristic
1305#117—611no—
1306#117—611no—
1307#117—611no—
1308#117—611no—
1309#117—611no—
1310#117—611no—
1311#117—611no—
1312#117—1221no—
1313#117—1221no—
1314#117—1221no—
1315#117—1221no—
1316#117—1221no—
1317#117—1221no—
1318#117—1221no—
1319#117—1221no—
1320#117—1221no—
1321#117C22×D6111yescharacteristic
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—1221no—
1327C2×C4⋊C4C22×D6111yescharacteristic
1328C2×C22⋊C4—611no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—1221no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C42—611no—
1335C2×C42—1221no—
1336C2×C42—1221no—
1337C2×C42—1221no—
1338C2×C42—1221no—
1339#107—611no—
1340#107—611no—
1341#107—611no—
1342#107—611no—
1343#107—611no—
1344#107C22×D6111yescharacteristic
1345#106—611no—
1346#106—611no—
1347#106—611no—
1348#106—611no—
1349#106C22×D6111yescharacteristic
1350#106C22×D6111yescharacteristic
1351C4⋊C8—611no—
1352C4⋊C8—611no—
1353C4⋊C8—611no—
1354C4⋊C8C22×D6111yescharacteristic
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103C22×D6111yescharacteristic
1370#103C22×D6111yescharacteristic
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#103C22×D6111yescharacteristic
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102C22×D6111yescharacteristic
1392#102C22×D6111yescharacteristic
1393#102C22×D6111yescharacteristic
1394#102C22×D6111yescharacteristic
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8C22×D6111yescharacteristic
1402C22⋊C8C22×D6111yescharacteristic
1403C4×C8—611no—
1404C4×C8—611no—
1405C4×C8—611no—
1406C4×C8C22×D6111yescharacteristic
1407C24—611no—
1408C24—611no—
1409C24—1221no—
1410C24—1221no—
1411#41—22no—
1412#41—41no—
1413#41—614no—
1414#41—1222no—
1415#41—1222no—
1416#41—1222no—
1417#41—1222no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—1222no—
1423#41—1222no—
1424#41—2441no—
1425#41—2444no—
1426#41—2444no—
1427#41—2444no—
1428#41—2441no—
1429#41—2441no—
1430#41—2444no—
1431#41—2444no—
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—611no—
1436C2×Q8—611no—
1437C2×Q8—1221no—
1438C2×Q8—1221no—
1439C2×Q8—1221no—
1440C2×Q8—1222no—
1441C2×Q8—2441no—
1442C2×Q8C23×D6111yescharacteristic
1443C2×Q8C23×D6111yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—611no—
1449C2×D4—611no—
1450C2×D4—611no—
1451C2×D4—611no—
1452C2×D4—611no—
1453C2×D4—1222no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—1221no—
1458C2×D4—1221no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1222no—
1463C2×D4—1221no—
1464C2×D4—1221no—
1465C2×D4—1221no—
1466C2×D4—1221no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—2441no—
1472C2×D4—2444no—
1473C2×D4—2441no—
1474C2×D4—2442no—
1475C2×D4—2444no—
1476C2×D4—2444no—
1477C2×D4D4×D6111yescharacteristic
1478C2×D4C23×D6111yescharacteristic
1479C2×D4C23×D6111yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—611no—
1494C22×C4—611no—
1495C22×C4—1221no—
1496C22×C4—1222no—
1497C22×C4—1222no—
1498C22×C4—1222no—
1499C22×C4—1222no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—2444no—
1514C22×C4—2444no—
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517Q16—1222no—
1518Q16—2441no—
1519Q16—2441no—
1520SD16—22no—
1521SD16—41no—
1522SD16—1222no—
1523SD16—2441no—
1524SD16—2441no—
1525SD16—2441no—
1526D8—41no—
1527D8—1222no—
1528D8—2441no—
1529M16—41no—
1530M16—41no—
1531M16—2441no—
1532M16—2441no—
1533M16—2441no—
1534M16—2441no—
1535M16—2441no—
1536M16—2441no—
1537C2×C8—611no—
1538C2×C8—611no—
1539C2×C8—611no—
1540C2×C8—611no—
1541C2×C8—1222no—
1542C2×C8—1222no—
1543C2×C8—1222no—
1544C2×C8—1222no—
1545C2×C8C23×D6111yescharacteristic
1546C2×C8C23×D6111yescharacteristic
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—611no—
1555C4⋊C4—611no—
1556C4⋊C4—611no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—1221no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4D4×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C4⋊C4C23×D6111yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—611no—
1598C22⋊C4—611no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4D4×D6111yescharacteristic
1624C22⋊C4D4×D6111yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—611no—
1628C42—611no—
1629C42—611no—
1630C42—1221no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42—1221no—
1638C42—1221no—
1639C42—1221no—
1640C42C23×D6111yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—611no—
1644C23—611no—
1645C23—611no—
1646C23—1222no—
1647C23—1222no—
1648C23—1221no—
1649C23—1221no—
1650C23—4881no—
1651C23—4881no—
1652C23—2441no—
1653C23—2441no—
1654C23—2441no—
1655C23—2441no—
1656C23—2442no—
1657C23—2442no—
1658C23—2442no—
1659C23—2442no—
1660C23C2×D4×D6111yescharacteristic
1661C23C2×D4×D6111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—42no—
1666Q8—1221no—
1667Q8—1221no—
1668Q8—1221no—
1669Q8—1221no—
1670Q8—4881no—
1671Q8—2442no—
1672Q8—2442no—
1673Q8#41×D6112yes—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—41no—
1679D4—42no—
1680D4—42no—
1681D4—42no—
1682D4—81no—
1683D4—612no—
1684D4—1224no—
1685D4—1222no—
1686D4—1222no—
1687D4—1221no—
1688D4—1221no—
1689D4—1221no—
1690D4—4881no—
1691D4—4881no—
1692D4—4881no—
1693D4—4881no—
1694D4—2441no—
1695D4—2442no—
1696D4—2442no—
1697D4—2442no—
1698D4—2442no—
1699D4—2442no—
1700D4—2442no—
1701D4—2442no—
1702D4—2442no—
1703D4—2442no—
1704D4—2442no—
1705D4—2442no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—611no—
1721C2×C4—611no—
1722C2×C4—612no—
1723C2×C4—612no—
1724C2×C4—611no—
1725C2×C4—611no—
1726C2×C4—611no—
1727C2×C4—1222no—
1728C2×C4—1222no—
1729C2×C4—1222no—
1730C2×C4—1224no—
1731C2×C4—1222no—
1732C2×C4—1222no—
1733C2×C4—1222no—
1734C2×C4—1222no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—1221no—
1744C2×C4—1221no—
1745C2×C4—4881no—
1746C2×C4—4881no—
1747C2×C4—2441no—
1748C2×C4—2442no—
1749C2×C4—2442no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4—2442no—
1757C2×C4—2442no—
1758C2×C4—2442no—
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C2×D4×D6111yescharacteristic
1761C2×C4C2×D4×D6111yescharacteristic
1762C2×C4C2×D4×D6111yescharacteristic
1763C2×C4C24×D6111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C8—1221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—612no—
1785C22—1221no—
1786C22—1221no—
1787C22—1221no—
1788C22—1221no—
1789C22—1222no—
1790C22—1221no—
1791C22—1221no—
1792C22—1221no—
1793C22—1221no—
1794C22—4882no—
1795C22—4882no—
1796C22—4884no—
1797C22—4884no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22—2441no—
1802C22—2441no—
1803C22C22×D4×D6111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—22no—
1807C4—21no—
1808C4—21no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—612no—
1815C4—612no—
1816C4—1221no—
1817C4—1221no—
1818C4—1221no—
1819C4—2441no—
1820C4—2441no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4—2441no—
1825C4C2×#41×D6111yescharacteristic
1826C4H(5,𝔽2)×D6111yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—81no—
1830C2—81no—
1831C2—1222no—
1832C2—4881no—
1833C2—2441no—
1834C2—2441no—
1835C2—2442no—
1836C2#546×D6111yescharacteristic
1837C2#575×D6111yescharacteristic
1838C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3326C2
socleC22×C61C23×D4
hypercenter#3326D61
hypocenterC61#61154
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #21459378C2semidirect
2. #21459308C2semidirect
3. #21458153C2semidirect
4. #21458139C2semidirect
5. #21458133C2semidirect
6. #21458119C2semidirect
7. #21458106C2semidirect
8. #21458098C2semidirect
9. #21458087C2semidirect
10. #21458084C2semidirect
11. #21458077C2semidirect
12. #21458056C2semidirect
13. #21458048C2semidirect
14. #21458037C2semidirect
15. #21458034C2semidirect
16. #21458027C2semidirect
17. #21458014C2semidirect
18. #21456140C2semidirect
19. #21455733C2semidirect
20. #21455731C2semidirect
21. #21455606C2semidirect
22. #21455426C2semidirect
23. #21455423C2semidirect
24. #21455271C2semidirect
25. #21455036C2semidirect
26. #21455034C2semidirect
27. C4×#14519798C2semidirect
28. #436×D61C2semidirect
29. #21454337C2semidirect
30. #21454335C2semidirect
31. C61×#3326C2semidirect
35. C2×#14519798C22semidirect
36. C2×#14519796C22semidirect
37. C2×M16×D61C22semidirect
38. C2×M16×D61C22semidirect
41. #16840467C22semidirect
42. #16840462C22semidirect
43. #16840452C22semidirect
44. #16840450C22semidirect
53. #16840412C22semidirect
61. #16840318C22semidirect
71. #16840272C22semidirect
72. #16840272C22semidirect
75. C4×#11758224C22semidirect
78. C2×#14519735C22semidirect
79. #117×D61C22semidirect
80. #16840119C22semidirect
81. #16840117C22semidirect
82. #16840116C22semidirect
83. #16840111C22semidirect
84. #16840111C22semidirect
85. #16840107C22semidirect
86. #16840107C22semidirect
87. #16840104C22semidirect
88. #16840103C22semidirect
89. #16840101C22semidirect
90. #16840101C22semidirect
91. #16840099C22semidirect
92. #16840095C22semidirect
93. #16840094C22semidirect
94. #16840088C22semidirect
95. #16840088C22semidirect
96. #16840083C22semidirect
97. #16840081C22semidirect
98. #16840079C22semidirect
99. #16840075C22semidirect
100. #16840074C22semidirect
101. #16840069C22semidirect
102. #16840063C22semidirect
103. #16840059C22semidirect
104. #16840055C22semidirect
105. #16840051C22semidirect
106. #16840045C22semidirect
107. #16840041C22semidirect
108. #16840021C22semidirect
109. #16840020C22semidirect
110. #16840019C22semidirect
111. #16840018C22semidirect
112. #16840014C22semidirect
113. #16840013C22semidirect
114. #16840012C22semidirect
115. #16840009C22semidirect
116. #16840008C22semidirect
117. #16840007C22semidirect
118. #16840007C22semidirect
119. #16840006C22semidirect
120. #16840006C22semidirect
121. #16840005C22semidirect
122. #16839985C22semidirect
123. #16839981C22semidirect
124. #16839977C22semidirect
125. #16839971C22semidirect
126. #16839965C22semidirect
127. #16839961C22semidirect
128. #16839955C22semidirect
129. #16839927C22semidirect
130. #16839927C22semidirect
131. #16839926C22semidirect
132. #16839924C22semidirect
133. #16839919C22semidirect
134. #16839918C22semidirect
135. #16839915C22semidirect
136. #16839914C22semidirect
137. #16839906C22semidirect
138. #16839906C22semidirect
139. #16839905C22semidirect
140. #16839899C22semidirect
141. #16839895C22semidirect
142. #16839894C22semidirect
143. C4×#11758202C22semidirect
144. #16839854C22semidirect
145. C4×#11758190C22semidirect
146. SD16×Dic61C22semidirect
147. #16839849C22semidirect
148. C4×#11758199C22semidirect
149. #16839842C22semidirect
150. #16839841C22semidirect
151. #16839840C22semidirect
152. #16839839C22semidirect
154. #16839838C22semidirect
156. #16839837C22semidirect
157. #16839799C22semidirect
158. #16839797C22semidirect
159. #16839797C22semidirect
160. C4⋊C8×D61C22semidirect
161. #16839771C22semidirect
162. #16839769C22semidirect
163. #16839769C22semidirect
164. #16839768C22semidirect
165. #16839766C22semidirect
166. #16839765C22semidirect
167. #16839765C22semidirect
168. #16839764C22semidirect
169. #16839763C22semidirect
170. #16839762C22semidirect
171. #16839762C22semidirect
172. #16839762C22semidirect
173. #16839762C22semidirect
174. #16839761C22semidirect
178. #16839757C22semidirect
179. #16839757C22semidirect
180. #16839757C22semidirect
181. #16839755C22semidirect
182. #16839755C22semidirect
183. #16839755C22semidirect
184. #16839755C22semidirect
185. C22⋊C8×D61C22semidirect
186. C22⋊C8×D61C22semidirect
187. C4×C8×D61C22semidirect
188. C61×#553C22semidirect
190. C61×#488C22semidirect
191. C61×#483C22semidirect
192. C61×#482C22semidirect
193. C61×#479C22semidirect
194. C61×#469C22semidirect
195. C61×#468C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
198. C61×#448C22semidirect
199. C4×SD16×C61C22semidirect
200. C61×#436C22semidirect
201. C61×#419C22semidirect
202. C61×#417C22semidirect
538. #11758226#41semidirect
919. #3326D61semidirect
962. #553C2×D61semidirect
1004. #488C2×D61semidirect
1016. #483C2×D61semidirect
1020. #482C2×D61semidirect
1026. #479C2×D61semidirect
1040. #469C2×D61semidirect
1048. #468C2×D61semidirect
1052. #463C2×D61semidirect
1068. #449C2×D61semidirect
1070. #448C2×D61semidirect
1078. C4×SD16C2×D61semidirect
1088. #436C2×D61semidirect
1096. #419C2×D61semidirect
1108. #417C2×D61semidirect
1122. C61#61154semidirect

Maximal subgroups

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

subgroupindex
#214593782
#214593082
#214581532
#214581392
#214581332
#214581192
#214581062
#214580982
#214580872
#214580842
#214580772
#214580562
#214580482
#214580372
#214580342
#214580272
#214580142
#214561402
#214557332
#214557312
#214556062
#214554262
#214554232
#214552712
#214550362
#214550342
C4×#145197982
#436×D612
#214543372
#214543352
C61×#33262
#6115461