Finite Group Databasebeta

← #30557122

Subgroups — #30557122

Order 15616.

2162 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#554×D61C211yesmaximal, characteristic, complemented
2#21459308C211yesmaximal, characteristic
3#21458153C211yesmaximal, characteristic, complemented
4#21458150C211yesmaximal, characteristic, complemented
5#21458133C211yesmaximal, characteristic, complemented
6#21458130C211yesmaximal, characteristic, complemented
7#21457935C211yesmaximal, characteristic, complemented
8#21457930C211yesmaximal, characteristic, complemented
9#21457927C211yesmaximal, characteristic, complemented
10#21457907C211yesmaximal, characteristic, complemented
11#21457902C211yesmaximal, characteristic, complemented
12#21457899C211yesmaximal, characteristic, complemented
13#21457894C211yesmaximal, characteristic, complemented
14#21457691C211yesmaximal, characteristic, complemented
15#21457688C211yesmaximal, characteristic, complemented
16#21457641C211yesmaximal, characteristic, complemented
17#21457638C211yesmaximal, characteristic, complemented
18#21456211C211yesmaximal, characteristic, complemented
19#21455743C211yesmaximal, characteristic, complemented
20#21455741C211yesmaximal, characteristic, complemented
21#21455629C211yesmaximal, characteristic, complemented
22#21455448C211yesmaximal, characteristic, complemented
23#21455442C211yesmaximal, characteristic, complemented
24#21455289C211yesmaximal, characteristic, complemented
25#21455078C211yesmaximal, characteristic, complemented
26#21455076C211yesmaximal, characteristic, complemented
27#21454635C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29C2×#16839762C211yesmaximal, characteristic, complemented
30#417×D61C211yesmaximal, characteristic, complemented
31C61×#3316C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic
35C2×#14519809C2211yescharacteristic, complemented
36C2×#14519806C2211yescharacteristic, complemented
37C22×#11758189C2211yescharacteristic, complemented
38C2×M16×D61C2211yescharacteristic, complemented
39#16840473C2211yescharacteristic, complemented
40#16840472C2211yescharacteristic, complemented
41#16840471—21no—
42#16840470C2211yescharacteristic
43#16840470C2211yescharacteristic, complemented
44#16840469C2211yescharacteristic, complemented
45#16840468—21no—
46#16840467C2211yescharacteristic
47#16840467C2211yescharacteristic, complemented
48#16840466—21no—
49#16840466—21no—
50#16840431C2211yescharacteristic
51Q8×C22⋊D61C2211yescharacteristic
52#16840424C2211yescharacteristic
53#16840414—21no—
54#16840414C2211yescharacteristic
55#16840408—21no—
56#16840408C2211yescharacteristic
57#16840405—21no—
58#16840405C2211yescharacteristic
59#16840396—21no—
60#16840396C2211yescharacteristic
61#16840311—21no—
62#16840311C2211yescharacteristic
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#125×D61—21no—
65#16840275—21no—
66#16840275C2211yescharacteristic
67#16840272—21no—
68#16840272C2211yescharacteristic
69C22⋊Q8×D61—21no—
70C22⋊Q8×D61—21no—
71C22⋊Q8×D61C2211yescharacteristic, complemented
72C22⋊Q8×D61C2211yescharacteristic, complemented
73C4×#11758226C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic, complemented
75C4×D4×D61—21no—
76C4×D4×D61—21no—
77C4×D4×D61C2211yescharacteristic
78C2×C4⋊C4×D61C2211yescharacteristic, complemented
79C2×C4⋊C4×D61C2211yescharacteristic, complemented
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840121C2211yescharacteristic, complemented
83#16840111C2211yescharacteristic, complemented
84#16840111C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic, complemented
87#16840098C2211yescharacteristic, complemented
88#16840097C2211yescharacteristic, complemented
89#16840096C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840082C2211yescharacteristic, complemented
95#16840082C2211yescharacteristic, complemented
96#16840078C2211yescharacteristic, complemented
97#16840076C2211yescharacteristic, complemented
98#16840075C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840055C2211yescharacteristic, complemented
103#16840051C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic, complemented
105#16840047C2211yescharacteristic, complemented
106#16840043C2211yescharacteristic, complemented
107#16840039C2211yescharacteristic, complemented
108#16840021C2211yescharacteristic, complemented
109#16840019C2211yescharacteristic, complemented
110#16840018C2211yescharacteristic, complemented
111#16840010C2211yescharacteristic, complemented
112#16840008C2211yescharacteristic, complemented
113#16840007C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16840003C2211yescharacteristic, complemented
116#16840002C2211yescharacteristic, complemented
117#16840001C2211yescharacteristic, complemented
118#16840000C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839992C2211yescharacteristic, complemented
121#16839989C2211yescharacteristic, complemented
122#16839985C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839981C2211yescharacteristic, complemented
125#16839971C2211yescharacteristic, complemented
126#16839970C2211yescharacteristic, complemented
127#16839961C2211yescharacteristic, complemented
128#16839960C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839927C2211yescharacteristic, complemented
131#16839926C2211yescharacteristic, complemented
132#16839924C2211yescharacteristic, complemented
133#16839923C2211yescharacteristic, complemented
134#16839923C2211yescharacteristic, complemented
135#16839922C2211yescharacteristic, complemented
136#16839919C2211yescharacteristic, complemented
137#16839918C2211yescharacteristic, complemented
138#16839916C2211yescharacteristic, complemented
139#16839915C2211yescharacteristic, complemented
140#16839914C2211yescharacteristic, complemented
141#16839912C2211yescharacteristic, complemented
142#16839911C2211yescharacteristic, complemented
143#16839867C2211yescharacteristic, complemented
144#16839864C2211yescharacteristic, complemented
145#16839860C2211yescharacteristic, complemented
146Q16×Dic61C2211yescharacteristic, complemented
147#16839854C2211yescharacteristic, complemented
148#16839849C2211yescharacteristic, complemented
149#16839847C2211yescharacteristic, complemented
150#16839838C2211yescharacteristic, complemented
151#16839837C2211yescharacteristic, complemented
152#16839835C2211yescharacteristic, complemented
153#16839834C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155C8×C22⋊D61C2211yescharacteristic
156#16839825C2211yescharacteristic
157#16839801C2211yescharacteristic, complemented
158#16839801C2211yescharacteristic, complemented
159#16839801C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839769C2211yescharacteristic, complemented
162#16839764C2211yescharacteristic, complemented
163#16839763C2211yescharacteristic, complemented
164#16839762C2211yescharacteristic
165#16839762C2211yescharacteristic
166#16839762C2211yescharacteristic
167#16839762C2211yescharacteristic, complemented
168#16839762C2211yescharacteristic, complemented
169#16839762C2211yescharacteristic, complemented
170#16839762C2211yescharacteristic, complemented
171#16839762C2211yescharacteristic, complemented
172#16839762C2211yescharacteristic, complemented
173#16839762C2211yescharacteristic, complemented
174#16839761C2211yescharacteristic, complemented
175#16839760C2211yescharacteristic, complemented
176#16839760C2211yescharacteristic, complemented
177#16839760C2211yescharacteristic, complemented
178C2×#14519701C2211yescharacteristic, complemented
179#103×D61C2211yescharacteristic, complemented
180#103×D61C2211yescharacteristic, complemented
181C2×#14519699C2211yescharacteristic, complemented
182C2×#14519697C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187#16839714C2211yescharacteristic, complemented
188C61×#554C2211yescharacteristic, complemented
189C61×#548C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C61×#441C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#103×C61C2211yescharacteristic, 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×#11758224C2311yescharacteristic
215#41×D61—24no—
216#41×D61—42no—
217C2×Q8×D61—21no—
218C2×Q8×D61C2311yescharacteristic
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×D61—21no—
229C22×C4×D61—21no—
230C22×C4×D61C2311yescharacteristic
231C22×C4×D61C2311yescharacteristic
232#14519809—24no—
233#14519809—42no—
234#14519806—42no—
235C2×Dic244C2311yescharacteristic
236C2×#11758202C2311yescharacteristic
237C2×#11758202C2311yescharacteristic
238C2×#11758202C2311yescharacteristic
239C2×#11758190C2311yescharacteristic
240C2×#11758190C2311yescharacteristic
241C2×#11758200C2311yescharacteristic
242C2×#11758201C2311yescharacteristic
243C2×#11758201C2311yescharacteristic
244C2×#11758194C2311yescharacteristic
245C2×#11758189—42no—
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250C2×#11758189C2311yescharacteristic
251C2×#11758189C2311yescharacteristic
252M16×D61—42no—
253C22×#92418C2311yescharacteristic
254C2×C8×D61C2311yescharacteristic
255C2×C8×D61C2311yescharacteristic
256#14519777C2311yescharacteristic
257#14519776—21no—
258#14519776C2311yescharacteristic
259#14519776C2311yescharacteristic
260#14519775—21no—
261#14519775—21no—
262#14519775C2311yescharacteristic
263#14519773—21no—
264#14519773C2311yescharacteristic
265#14519769—21no—
266#14519768—21no—
267#14519768—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519765—21no—
273#14519765C2311yescharacteristic
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519757—21no—
281#14519757—21no—
282#14519757—21no—
283#14519757C2311yescharacteristic
284#14519757C2311yescharacteristic
285#14519757C2311yescharacteristic
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756C2311yescharacteristic
290#14519756C2311yescharacteristic
291#14519756C2311yescharacteristic
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519753C2311yescharacteristic
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519752—21no—
311#14519752C2311yescharacteristic
312#14519751—21no—
313#14519751C2311yescharacteristic
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519748—21no—
321#14519748C2311yescharacteristic
322#14519747—21no—
323#14519747—21no—
324#14519747—21no—
325#14519745—21no—
326#14519745—21no—
327#14519745—21no—
328Q8×Dic61C2311yescharacteristic
329Q8×Dic61C2311yescharacteristic
330C4×Dic122—21no—
331C4×Dic122C2311yescharacteristic
332#14519742—21no—
333#14519742C2311yescharacteristic
334C4×D244—21no—
335C4×D244—21no—
336C4×D244—21no—
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339D4×Dic61—21no—
340D4×Dic61—21no—
341D4×Dic61D411yescharacteristic
342#14519739—21no—
343#14519739—21no—
344#14519739—21no—
345#14519739D411yescharacteristic
346#14519739C2311yescharacteristic
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61C2311yescharacteristic
352C4×C22⋊D61C2311yescharacteristic
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737D411yescharacteristic
360#14519737D411yescharacteristic
361#14519735—21no—
362#14519735C2311yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C2×#11758196—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×D61—21no—
376C4⋊C4×D61D411yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C4⋊C4×D61C2311yescharacteristic
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61D411yescharacteristic
389C22⋊C4×D61D411yescharacteristic
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519711C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519708C2311yescharacteristic
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#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
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
441#14519688C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×Q8×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#125×C61—21no—
453#124×C61—21no—
454#124×C61C2311yescharacteristic
455C22⋊Q8×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461#121×C61—21no—
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61—21no—
466C4×D4×C61—21no—
467C4×D4×C61C2311yescharacteristic
468C2×C4⋊C4×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#106×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#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×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—21no—
495C2×Q8×C61—22no—
496C2×Q8×C61—41no—
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61C2×D411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61C2411yescharacteristic
509C22×C4×C61C2411yescharacteristic
510C2×C22⋊D61—21no—
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⋊D61C2×D411yescharacteristic
518C2×C22⋊D61C2×D411yescharacteristic
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61C2×D411yescharacteristic
523C22×Dic61C2×D411yescharacteristic
524#11758226—22no—
525#11758226—22no—
526#11758226—22no—
527#11758226—22no—
528#11758226—22no—
529#11758226—44no—
530#11758226—41no—
531#11758226—41no—
532#11758226—44no—
533#11758226#4114yes—
534Q8×D61—22no—
535Q8×D61—22no—
536Q8×D61—22no—
537Q8×D61—41no—
538Q8×D61—82no—
539#11758224—22no—
540#11758224—22no—
541#11758224—44no—
542D4×D61—24no—
543D4×D61—22no—
544D4×D61—41no—
545D4×D61—44no—
546D4×D61—44no—
547#11758222—22no—
548#11758222—41no—
549#11758222—44no—
550C2×D244—21no—
551C2×D244—22no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244—21no—
556C2×D244—21no—
557C2×D244—41no—
558C2×D244—44no—
559C2×D244C2×D411yescharacteristic
560C2×D244C2411yescharacteristic
561C2×D244C2411yescharacteristic
562C2×C4×D61—21no—
563C2×C4×D61—22no—
564C2×C4×D61—22no—
565C2×C4×D61—22no—
566C2×C4×D61—22no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
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—21no—
582C2×C4×D61—44no—
583C2×C4×D61—44no—
584C2×C4×D61—82no—
585C2×C4×D61—82no—
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2×D411yescharacteristic
588C2×C4×D61C2×D411yescharacteristic
589C2×C4×D61C2×D411yescharacteristic
590C2×C4×D61C2×D411yescharacteristic
591C2×C4×D61C2×D411yescharacteristic
592C2×C4×D61C2411yescharacteristic
593C2×C4×D61C2411yescharacteristic
594C2×C4×D61C2411yescharacteristic
595C2×Dic122—21no—
596C2×Dic122—21no—
597C2×Dic122—21no—
598C2×Dic122—21no—
599C2×Dic122—21no—
600C2×Dic122C2411yescharacteristic
601C2×Dic122C2411yescharacteristic
602Q16×C61—22no—
603Q16×C61—41no—
604SD16×C61—41no—
605M16×C61—41no—
606C2×C8×C61—41no—
607C2×C8×C61C2411yescharacteristic
608C2×C8×C61C2411yescharacteristic
609C2×C8×C61C2411yescharacteristic
610C2×C8×C61C2411yescharacteristic
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61—21no—
616C4⋊C4×C61—21no—
617C4⋊C4×C61—21no—
618C4⋊C4×C61—21no—
619C4⋊C4×C61C2×D411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
621C4⋊C4×C61C2411yescharacteristic
622C4⋊C4×C61C2411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61C2×D411yescharacteristic
631C22⋊C4×C61C2×D411yescharacteristic
632C42×C61—21no—
633C42×C61—21no—
634C42×C61C2411yescharacteristic
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61—21no—
639C22⋊Dic61C2×D411yescharacteristic
640C22⋊Dic61C2×D411yescharacteristic
641#11758202—22no—
642#11758202—41no—
643#11758202—41no—
644#11758201—22no—
645#11758201—41no—
646#11758200—41no—
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#11758198C2×D411yescharacteristic
661#11758198C2×D411yescharacteristic
662#11758198C2×D411yescharacteristic
663#11758198C2×D411yescharacteristic
664C4⋊Dic61—21no—
665C4⋊Dic61—21no—
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61C2×D411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196C2×D411yescharacteristic
697#11758196C2×D411yescharacteristic
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61—21no—
702C4×Dic61—21no—
703C4×Dic61C2×D411yescharacteristic
704C4×Dic61C2×D411yescharacteristic
705C4×Dic61C2411yescharacteristic
706#11758194—41no—
707C2×#92418—41no—
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710C2×#92418C2411yescharacteristic
711C2×#92418C2411yescharacteristic
712Dic244—41no—
713#11758190—22no—
714#11758190—41no—
715#11758189—22no—
716#11758189—22no—
717#11758189—22no—
718#11758189—22no—
719#11758189—41no—
720#11758189—41no—
721C8×D61—41no—
722C8×D61—41no—
723C23×C61—21no—
724C23×C61C22×D411yescharacteristic
725C23×C61C22×D411yescharacteristic
726C22×D61—22no—
727C22×D61—21no—
728C22×D61—22no—
729C22×D61—22no—
730C22×D61—22no—
731C22×D61—21no—
732C22×D61—41no—
733C22×D61—41no—
734C22×D61—42no—
735C22×D61—42no—
736C22×D61—42no—
737C22×D61—42no—
738C22×D61—81no—
739C22×D61—81no—
740C22×D61C22×D411yescharacteristic
741C22×D61C22×D411yescharacteristic
742C22×D61C22×D411yescharacteristic
743Q8×C61—21no—
744Q8×C61—21no—
745Q8×C61—21no—
746Q8×C61—21no—
747Q8×C61—21no—
748Q8×C61—42no—
749Q8×C61—81no—
750Q8×C61C2×#4112yes—
751D4×C61—22no—
752D4×C61—21no—
753D4×C61—21no—
754D4×C61—42no—
755D4×C61—42no—
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—21no—
767C2×C4×C61—42no—
768C2×C4×C61—42no—
769C2×C4×C61—81no—
770C2×C4×C61—81no—
771C2×C4×C61C22×D411yescharacteristic
772C2×C4×C61C22×D411yescharacteristic
773C2×C4×C61C22×D411yescharacteristic
774C2×C4×C61C22×D411yescharacteristic
775C2×C4×C61C2511yescharacteristic
776C22⋊D61—22no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—81no—
782C22⋊D61—81no—
783C22⋊D61—81no—
784C22⋊D61#13714yescomplemented
785C2×Dic61—22no—
786C2×Dic61—22no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—42no—
794C2×Dic61—81no—
795C2×Dic61—81no—
796C2×Dic61C22×D411yescharacteristic
797C2×Dic61C22×D411yescharacteristic
798C2×Dic61C22×D411yescharacteristic
799C2×Dic61C22×D411yescharacteristic
800C2×Dic61C22×D411yescharacteristic
801D244—24no—
802D244—22no—
803D244—21no—
804D244—21no—
805D244—21no—
806D244—42no—
807D244—42no—
808D244—42no—
809D244—42no—
810D244—42no—
811D244C2×#4112yes—
812C4×D61—22no—
813C4×D61—22no—
814C4×D61—21no—
815C4×D61—21no—
816C4×D61—21no—
817C4×D61—21no—
818C4×D61—22no—
819C4×D61—22no—
820C4×D61—24no—
821C4×D61—22no—
822C4×D61—41no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
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×D61—81no—
836C4×D61—81no—
837C4×D61—81no—
838C4×D61C2×#4112yes—
839C4×D61H(5,𝔽2)12yes—
840Dic122—21no—
841Dic122—21no—
842Dic122—21no—
843Dic122—21no—
844Dic122—42no—
845Dic122—42no—
846Dic122—81no—
847Dic122—81no—
848Dic122—81no—
849C8×C61—21no—
850C8×C61—21no—
851C8×C61—21no—
852C8×C61—21no—
853#92418—21no—
854#92418—21no—
855#92418—21no—
856#92418—21no—
857#61162—611nomaximal, Sylow
858C22×C61—21no—
859C22×C61—21no—
860C22×C61—21no—
861C22×C61—21no—
862C22×C61—21no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61C2×#13712yes—
867C22×C61C23×D411yescharacteristic
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—21no—
873C2×D61—21no—
874C2×D61—22no—
875C2×D61—21no—
876C2×D61—44no—
877C2×D61—44no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—84no—
884C2×D61—84no—
885C2×D61#54612yes—
886C2×D61C2×#13712yes—
887C4×C61—21no—
888C4×C61—22no—
889C4×C61—21no—
890C4×C61—21no—
891C4×C61—21no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895C4×C61—41no—
896C4×C61—41no—
897C4×C61—41no—
898C4×C61C22×#4111yescharacteristic
899C4×C61C2×H(5,𝔽2)11yescharacteristic
900Dic61—21no—
901Dic61—21no—
902Dic61—21no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61—41no—
907Dic61—41no—
908Dic61—41no—
909Dic61#54612yes—
910Dic61C2×#13712yes—
911C2×#554—611no—
912D4×#41—611no—
913#3333—611no—
914#3333—611no—
915#3331—611no—
916#3331—611no—
917#3316—611no—
918#3316—611no—
919#3316—611no—
920#3316D6111yescharacteristic, complemented
921#3314—611no—
922#3314—611no—
923#3314—611no—
924#3314—611no—
925#3299—611no—
926#3299—611no—
927#3295—611no—
928#3295—611no—
929#3141—611no—
930#3092—611no—
931#3092—611no—
932#3079—611no—
933#3056—611no—
934#3056—611no—
935#3037—611no—
936#3007—611no—
937#3007—611no—
938C4×#137—611no—
939D4×M16—611no—
940C2×#417—611no—
941C2×#417—611no—
942C2×C61—22no—
943C2×C61—41no—
944C2×C61—81no—
945C2×C61C2×#54611yescharacteristic
946C2×C61C22×#13711yescharacteristic
947C2×C61#358511yescharacteristic
948D61—22no—
949D61—22no—
950D61—41no—
951D61—42no—
952D61—81no—
953C22×#41—611no—
954C22×#41—611no—
955C2×#137—611no—
956C2×#137—611no—
957C2×#137—611no—
958C22×M16—611no—
959C22×M16—611no—
960#554—611no—
961#554—611no—
962#554—611no—
963#554—611no—
964#554—611no—
965#554—611no—
966#554—611no—
967#554—1221no—
968#554—1221no—
969#554—1221no—
970#554—1221no—
971#554C2×D6111yescharacteristic, complemented
972#550—611no—
973D4×Q8—611no—
974#548—611no—
975#548C2×D6111yescharacteristic
976#547—611no—
977#547—1221no—
978#546—611no—
979#546—611no—
980#546—1221no—
981#546—1221no—
982D42—611no—
983D42—1221no—
984#532—611no—
985#532—1221no—
986C2×C4⋊Q8—611no—
987C2×#125—1221no—
988#525—611no—
989#525—611no—
990#525—1221no—
991#525—1221no—
992C2×C22⋊Q8—611no—
993C2×C22⋊Q8—611no—
994C2×C22⋊Q8—1221no—
995C2×C22⋊Q8—1221no—
996C4×#41—611no—
997C2×C4×Q8—611no—
998C2×C4×D4—611no—
999C2×C4×D4—1221no—
1000C2×C4×D4—1221no—
1001C22×C4⋊C4—611no—
1002C22×C4⋊C4—611no—
1003#489—611no—
1004#489—611no—
1005#489—611no—
1006#489C2×D6111yescharacteristic, complemented
1007#487—611no—
1008#487—611no—
1009#486—611no—
1010#486—611no—
1011#484—611no—
1012#484—611no—
1013#484—611no—
1014#484—611no—
1015#483—611no—
1016#483—611no—
1017#483—611no—
1018#483C2×D6111yescharacteristic, complemented
1019#481—611no—
1020#481—611no—
1021#481—611no—
1022#481C2×D6111yescharacteristic, complemented
1023#480—611no—
1024#480—611no—
1025#480—611no—
1026#480—611no—
1027#477—611no—
1028#477—611no—
1029#476—611no—
1030#476—611no—
1031#475—611no—
1032#475C2×D6111yescharacteristic, complemented
1033#474—611no—
1034#474—611no—
1035#470—611no—
1036#470—611no—
1037#470—611no—
1038#470C2×D6111yescharacteristic, complemented
1039#468—611no—
1040#468—611no—
1041#468—611no—
1042#468—611no—
1043#467—611no—
1044#467—611no—
1045#467—611no—
1046#467—611no—
1047#465—611no—
1048#465—611no—
1049#465—611no—
1050#465C2×D6111yescharacteristic, complemented
1051#464—611no—
1052#464—611no—
1053#464—611no—
1054#464C2×D6111yescharacteristic, complemented
1055#462—611no—
1056#462—611no—
1057#460—611no—
1058#460—611no—
1059#452—611no—
1060#452—611no—
1061#452—611no—
1062#452—611no—
1063#452—611no—
1064#452—611no—
1065#452—611no—
1066#452C2×D6111yescharacteristic, complemented
1067#451—611no—
1068#451—611no—
1069#451—611no—
1070#451C2×D6111yescharacteristic, complemented
1071#450—611no—
1072#450—611no—
1073#450—611no—
1074#450—611no—
1075#441—611no—
1076#441C2×D6111yescharacteristic, complemented
1077#440—611no—
1078#440—611no—
1079C4×Q16—611no—
1080C4×Q16—611no—
1081C4×SD16—611no—
1082C4×SD16—611no—
1083#436—611no—
1084#436—611no—
1085#435—611no—
1086#435—611no—
1087#435—611no—
1088#435C2×D6111yescharacteristic, complemented
1089C8×D4—611no—
1090C8×D4—611no—
1091#428—611no—
1092#428—611no—
1093#428—611no—
1094#423—611no—
1095#419—611no—
1096#417—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417—611no—
1102#417—611no—
1103#417—611no—
1104#417—611no—
1105#417—611no—
1106#417—611no—
1107#417—611no—
1108#417—611no—
1109#417—611no—
1110#417—611no—
1111#417—611no—
1112#417C2×D6111yescharacteristic, complemented
1113C2×#103—611no—
1114C2×#103—611no—
1115C2×#103—611no—
1116C2×#103C2×D6111yescharacteristic, complemented
1117C2×#102—611no—
1118C2×#102—611no—
1119C2×#102—611no—
1120C2×#102—611no—
1121#407—611no—
1122#407—611no—
1123C4×M16—611no—
1124C61#6116211yescharacteristic, complemented, Sylow
1125C2×#41—611no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—611no—
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×Q8—611no—
1142C22×Q8—1221no—
1143C22×Q8C22×D6111yescharacteristic
1144C22×D4—611no—
1145C22×D4—611no—
1146C22×D4—611no—
1147C22×D4—1221no—
1148C22×D4—1221no—
1149C22×D4—1221no—
1150C23×C4—611no—
1151C23×C4—611no—
1152C23×C4—1221no—
1153C23×C4—1221no—
1154C23×C4—1221no—
1155C23×C4—1221no—
1156#137—1224no—
1157#137—2442no—
1158#137—2442no—
1159C2×Q16—611no—
1160C2×Q16—611no—
1161C2×Q16—611no—
1162C2×Q16—611no—
1163C2×Q16C22×D6111yescharacteristic
1164C2×Q16C22×D6111yescharacteristic
1165C2×SD16—611no—
1166C2×SD16—611no—
1167C2×SD16—611no—
1168C2×SD16—611no—
1169C2×SD16—611no—
1170C2×SD16C22×D6111yescharacteristic
1171C2×M16—611no—
1172C2×M16—611no—
1173C2×M16—611no—
1174C2×M16—611no—
1175C2×M16—611no—
1176C2×M16—611no—
1177C2×M16—611no—
1178C2×M16—2442no—
1179C2×M16—2442no—
1180C2×M16C22×D6111yescharacteristic
1181C22×C8—611no—
1182C22×C8—611no—
1183C22×C8—611no—
1184C22×C8C22×D6111yescharacteristic
1185C4⋊Q8—611no—
1186C4⋊Q8—611no—
1187C4⋊Q8—611no—
1188C4⋊Q8—611no—
1189C4⋊Q8—1221no—
1190C4⋊Q8—1221no—
1191C4⋊Q8—1221no—
1192C4⋊Q8C22×D6111yescharacteristic
1193#127—611no—
1194#127—1221no—
1195#125—21no—
1196#125—1221no—
1197#125—1221no—
1198#125—1221no—
1199#125—1221no—
1200#125—1221no—
1201#125—1221no—
1202#125—1221no—
1203#124—21no—
1204#124—611no—
1205#124—1221no—
1206#124C22×D6111yescharacteristic
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—611no—
1217C22⋊Q8—611no—
1218C22⋊Q8—611no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
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⋊Q8—1221no—
1236C22⋊Q8—1221no—
1237C22⋊Q8—1221no—
1238C22⋊Q8—1221no—
1239C22⋊Q8—1221no—
1240C22⋊Q8—1221no—
1241C22⋊Q8—1221no—
1242C22⋊Q8—1221no—
1243C22⋊Q8—1221no—
1244C22⋊Q8—1221no—
1245C22⋊Q8—1221no—
1246C22⋊Q8C22×D6111yescharacteristic
1247C22⋊Q8C22×D6111yescharacteristic
1248C22⋊Q8C22×D6111yescharacteristic
1249#121—21no—
1250#121—611no—
1251#121—611no—
1252#121—611no—
1253#121—1221no—
1254#121—1221no—
1255#121—1221no—
1256#121—1221no—
1257#121—1221no—
1258#121—1221no—
1259#121—1221no—
1260#121—1221no—
1261#121—1221no—
1262#121C22×D6111yescharacteristic
1263#120—1221no—
1264#120—1221no—
1265#120—1221no—
1266#120—1221no—
1267#120—1221no—
1268#120—1221no—
1269C4×Q8—611no—
1270C4×Q8—611no—
1271C4×Q8—611no—
1272C4×Q8—611no—
1273C4×Q8—1221no—
1274C4×Q8—1221no—
1275C4×Q8C22×D6111yescharacteristic
1276C4×Q8C22×D6111yescharacteristic
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—611no—
1282C4×D4—611no—
1283C4×D4—611no—
1284C4×D4—611no—
1285C4×D4—611no—
1286C4×D4—611no—
1287C4×D4—611no—
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×D4—1221no—
1304C4×D4—1221no—
1305C4×D4—1221no—
1306C4×D4C22×D6111yescharacteristic
1307#117—611no—
1308#117—1221no—
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—611no—
1311C2×C4⋊C4—611no—
1312C2×C4⋊C4—611no—
1313C2×C4⋊C4—611no—
1314C2×C4⋊C4—611no—
1315C2×C4⋊C4—611no—
1316C2×C4⋊C4—611no—
1317C2×C4⋊C4—611no—
1318C2×C4⋊C4—611no—
1319C2×C4⋊C4—1221no—
1320C2×C4⋊C4—1221no—
1321C2×C4⋊C4—1221no—
1322C2×C4⋊C4—1221no—
1323C2×C4⋊C4—1221no—
1324C2×C4⋊C4—1221no—
1325C2×C4⋊C4—1221no—
1326C2×C4⋊C4—1221no—
1327C2×C4⋊C4—1221no—
1328C2×C4⋊C4—1221no—
1329C2×C4⋊C4—1221no—
1330C2×C4⋊C4C22×D6111yescharacteristic
1331C2×C4⋊C4C22×D6111yescharacteristic
1332C2×C22⋊C4—611no—
1333C2×C22⋊C4—611no—
1334C2×C22⋊C4—1221no—
1335C2×C22⋊C4—1221no—
1336C2×C22⋊C4—1221no—
1337C2×C22⋊C4—1221no—
1338C2×C42—611no—
1339C2×C42—1221no—
1340C2×C42—1221no—
1341#107—611no—
1342#107—611no—
1343#107—611no—
1344#107—611no—
1345#107—611no—
1346#107—611no—
1347#106—611no—
1348#106—611no—
1349#106—611no—
1350#106C22×D6111yescharacteristic
1351#106C22×D6111yescharacteristic
1352#106C22×D6111yescharacteristic
1353C4⋊C8—611no—
1354C4⋊C8—611no—
1355C4⋊C8—611no—
1356C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1370#103—611no—
1371#103—611no—
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#103C22×D6111yescharacteristic
1375#103C22×D6111yescharacteristic
1376#103C22×D6111yescharacteristic
1377#103C22×D6111yescharacteristic
1378#103C22×D6111yescharacteristic
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#102—611no—
1392#102—611no—
1393#102—611no—
1394#102C22×D6111yescharacteristic
1395#102C22×D6111yescharacteristic
1396#102C22×D6111yescharacteristic
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8—611no—
1402C22⋊C8—611no—
1403C22⋊C8C22×D6111yescharacteristic
1404C22⋊C8C22×D6111yescharacteristic
1405#97—611no—
1406#97C22×D6111yescharacteristic
1407C4×C8—611no—
1408C4×C8—611no—
1409C24—611no—
1410C24—611no—
1411C24—1221no—
1412C24—1221no—
1413#41—22no—
1414#41—41no—
1415#41—614no—
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—
1431C2×Q8—21no—
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—1221no—
1441C2×Q8—1222no—
1442C2×Q8—1222no—
1443C2×Q8—1221no—
1444C2×Q8—1222no—
1445C2×Q8—4882no—
1446C2×Q8—2441no—
1447C2×Q8C23×D6111yescharacteristic
1448C2×Q8C23×D6111yescharacteristic
1449C2×Q8C23×D6111yescharacteristic
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—611no—
1453C2×D4—611no—
1454C2×D4—611no—
1455C2×D4—611no—
1456C2×D4—611no—
1457C2×D4—1222no—
1458C2×D4—1221no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1221no—
1463C2×D4—1221no—
1464C2×D4—1221no—
1465C2×D4—1221no—
1466C2×D4—1224no—
1467C2×D4—1222no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—2441no—
1474C2×D4—2444no—
1475C2×D4—2441no—
1476C2×D4—2444no—
1477C2×D4—2444no—
1478C2×D4D4×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—1221no—
1514C22×C4—1221no—
1515C22×C4—1221no—
1516C22×C4—1221no—
1517C22×C4—1221no—
1518C22×C4—4882no—
1519C22×C4—4882no—
1520C22×C4—2444no—
1521C22×C4—2444no—
1522C22×C4C23×D6111yescharacteristic
1523C22×C4C23×D6111yescharacteristic
1524Q16—22no—
1525Q16—41no—
1526Q16—1222no—
1527Q16—2441no—
1528Q16—2441no—
1529Q16—2441no—
1530SD16—41no—
1531SD16—1222no—
1532SD16—1222no—
1533SD16—2441no—
1534SD16—2441no—
1535SD16—2441no—
1536M16—41no—
1537M16—1222no—
1538M16—1222no—
1539M16—1222no—
1540M16—1222no—
1541M16—2441no—
1542M16—2441no—
1543M16—2441no—
1544C2×C8—41no—
1545C2×C8—611no—
1546C2×C8—611no—
1547C2×C8—611no—
1548C2×C8—611no—
1549C2×C8—2441no—
1550C2×C8—2441no—
1551C2×C8—2441no—
1552C2×C8C23×D6111yescharacteristic
1553C2×C8C23×D6111yescharacteristic
1554C2×C8C23×D6111yescharacteristic
1555C2×C8C23×D6111yescharacteristic
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—611no—
1565C4⋊C4—611no—
1566C4⋊C4—611no—
1567C4⋊C4—611no—
1568C4⋊C4—611no—
1569C4⋊C4—611no—
1570C4⋊C4—611no—
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⋊C4—1221no—
1581C4⋊C4—1221no—
1582C4⋊C4—1221no—
1583C4⋊C4—1221no—
1584C4⋊C4—1221no—
1585C4⋊C4—1221no—
1586C4⋊C4—1221no—
1587C4⋊C4—1221no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
1591C4⋊C4—1221no—
1592C4⋊C4—1221no—
1593C4⋊C4—1221no—
1594C4⋊C4—1221no—
1595C4⋊C4—1221no—
1596C4⋊C4—1221no—
1597C4⋊C4—1221no—
1598C4⋊C4D4×D6111yescharacteristic
1599C4⋊C4C23×D6111yescharacteristic
1600C4⋊C4C23×D6111yescharacteristic
1601C4⋊C4C23×D6111yescharacteristic
1602C4⋊C4C23×D6111yescharacteristic
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—611no—
1610C22⋊C4—611no—
1611C22⋊C4—611no—
1612C22⋊C4—611no—
1613C22⋊C4—611no—
1614C22⋊C4—611no—
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⋊C4—1221no—
1624C22⋊C4—1221no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4—1221no—
1629C22⋊C4—1221no—
1630C22⋊C4—1221no—
1631C22⋊C4—1221no—
1632C22⋊C4D4×D6111yescharacteristic
1633C22⋊C4D4×D6111yescharacteristic
1634C42—21no—
1635C42—21no—
1636C42—611no—
1637C42—611no—
1638C42—611no—
1639C42—1221no—
1640C42—1221no—
1641C42—1221no—
1642C42—1221no—
1643C42—1221no—
1644C42C23×D6111yescharacteristic
1645C23—21no—
1646C23—611no—
1647C23—611no—
1648C23—611no—
1649C23—1222no—
1650C23—1222no—
1651C23—1222no—
1652C23—1222no—
1653C23—1221no—
1654C23—1221no—
1655C23—4881no—
1656C23—4881no—
1657C23—2441no—
1658C23—2441no—
1659C23—2442no—
1660C23—2442no—
1661C23—2442no—
1662C23—2442no—
1663C23C2×D4×D6111yescharacteristic
1664C23C2×D4×D6111yescharacteristic
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—42no—
1671Q8—81no—
1672Q8—1221no—
1673Q8—1221no—
1674Q8—1221no—
1675Q8—1221no—
1676Q8—4881no—
1677Q8—4881no—
1678Q8—4881no—
1679Q8—2442no—
1680Q8—2442no—
1681Q8#41×D6112yes—
1682D4—22no—
1683D4—21no—
1684D4—21no—
1685D4—42no—
1686D4—42no—
1687D4—614no—
1688D4—612no—
1689D4—1222no—
1690D4—1224no—
1691D4—1222no—
1692D4—1221no—
1693D4—1221no—
1694D4—1221no—
1695D4—4881no—
1696D4—4881no—
1697D4—4881no—
1698D4—2442no—
1699D4—2442no—
1700D4—2442no—
1701D4—2442no—
1702D4—2442no—
1703D4—2442no—
1704D4—2442no—
1705D4—2442no—
1706D4—2442no—
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—21no—
1717C2×C4—21no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—611no—
1723C2×C4—611no—
1724C2×C4—612no—
1725C2×C4—612no—
1726C2×C4—611no—
1727C2×C4—611no—
1728C2×C4—611no—
1729C2×C4—1222no—
1730C2×C4—1222no—
1731C2×C4—1222no—
1732C2×C4—1224no—
1733C2×C4—1222no—
1734C2×C4—1222no—
1735C2×C4—1222no—
1736C2×C4—1222no—
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—1221no—
1746C2×C4—1221no—
1747C2×C4—4881no—
1748C2×C4—4881no—
1749C2×C4—4881no—
1750C2×C4—4881no—
1751C2×C4—4881no—
1752C2×C4—4881no—
1753C2×C4—4881no—
1754C2×C4—2441no—
1755C2×C4—2442no—
1756C2×C4—2442no—
1757C2×C4—2442no—
1758C2×C4—2442no—
1759C2×C4—2442no—
1760C2×C4—2442no—
1761C2×C4—2442no—
1762C2×C4—2442no—
1763C2×C4—2442no—
1764C2×C4—2442no—
1765C2×C4—2442no—
1766C2×C4C2×D4×D6111yescharacteristic
1767C2×C4C2×D4×D6111yescharacteristic
1768C2×C4C2×D4×D6111yescharacteristic
1769C2×C4C2×D4×D6111yescharacteristic
1770C2×C4C24×D6111yescharacteristic
1771C8—21no—
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—1221no—
1776C8—1221no—
1777C8—1221no—
1778C8—1221no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—612no—
1788C22—612no—
1789C22—1221no—
1790C22—1221no—
1791C22—1221no—
1792C22—1221no—
1793C22—1221no—
1794C22—1222no—
1795C22—1221no—
1796C22—1221no—
1797C22—4884no—
1798C22—4884no—
1799C22—2444no—
1800C22—2444no—
1801C22—2441no—
1802C22—2441no—
1803C22—2441no—
1804C22—2441no—
1805C22—2441no—
1806C22#137×D6112yes—
1807C22C22×D4×D6111yescharacteristic
1808C4—21no—
1809C4—21no—
1810C4—22no—
1811C4—21no—
1812C4—21no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—612no—
1820C4—612no—
1821C4—1221no—
1822C4—1221no—
1823C4—1221no—
1824C4—2441no—
1825C4—2441no—
1826C4—2441no—
1827C4—2441no—
1828C4—2441no—
1829C4—2441no—
1830C4C2×#41×D6111yescharacteristic
1831C4H(5,𝔽2)×D6111yescharacteristic
1832C2—22no—
1833C2—41no—
1834C2—81no—
1835C2—1222no—
1836C2—1222no—
1837C2—4881no—
1838C2—2441no—
1839C2—2442no—
1840C2#546×D6111yescharacteristic
1841C2C2×#137×D6111yescharacteristic
1842C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3316C2
socleC22×C61C23×D4
prime radical#21459308C2
hypercenter#3316D61
hypocenterC61#61162
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #554×D61C2semidirect
3. #21458153C2semidirect
4. #21458150C2semidirect
5. #21458133C2semidirect
6. #21458130C2semidirect
7. #21457935C2semidirect
8. #21457930C2semidirect
9. #21457927C2semidirect
10. #21457907C2semidirect
11. #21457902C2semidirect
12. #21457899C2semidirect
13. #21457894C2semidirect
14. #21457691C2semidirect
15. #21457688C2semidirect
16. #21457641C2semidirect
17. #21457638C2semidirect
18. #21456211C2semidirect
19. #21455743C2semidirect
20. #21455741C2semidirect
21. #21455629C2semidirect
22. #21455448C2semidirect
23. #21455442C2semidirect
24. #21455289C2semidirect
25. #21455078C2semidirect
26. #21455076C2semidirect
27. #21454635C2semidirect
28. #21454552C2semidirect
29. C2×#16839762C2semidirect
30. #417×D61C2semidirect
31. C61×#3316C2semidirect
35. C2×#14519809C22semidirect
36. C2×#14519806C22semidirect
37. C22×#11758189C22semidirect
38. C2×M16×D61C22semidirect
39. #16840473C22semidirect
40. #16840472C22semidirect
43. #16840470C22semidirect
44. #16840469C22semidirect
47. #16840467C22semidirect
63. C4⋊Q8×D61C22semidirect
71. C22⋊Q8×D61C22semidirect
72. C22⋊Q8×D61C22semidirect
74. C4×Q8×D61C22semidirect
78. C2×C4⋊C4×D61C22semidirect
79. C2×C4⋊C4×D61C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840121C22semidirect
83. #16840111C22semidirect
84. #16840111C22semidirect
85. #16840107C22semidirect
86. #16840107C22semidirect
87. #16840098C22semidirect
88. #16840097C22semidirect
89. #16840096C22semidirect
90. #16840096C22semidirect
91. #16840094C22semidirect
92. #16840094C22semidirect
93. #16840090C22semidirect
94. #16840082C22semidirect
95. #16840082C22semidirect
96. #16840078C22semidirect
97. #16840076C22semidirect
98. #16840075C22semidirect
99. #16840074C22semidirect
100. #16840074C22semidirect
101. #16840055C22semidirect
102. #16840055C22semidirect
103. #16840051C22semidirect
104. #16840051C22semidirect
105. #16840047C22semidirect
106. #16840043C22semidirect
107. #16840039C22semidirect
108. #16840021C22semidirect
109. #16840019C22semidirect
110. #16840018C22semidirect
111. #16840010C22semidirect
112. #16840008C22semidirect
113. #16840007C22semidirect
114. #16840005C22semidirect
115. #16840003C22semidirect
116. #16840002C22semidirect
117. #16840001C22semidirect
118. #16840000C22semidirect
119. #16839994C22semidirect
120. #16839992C22semidirect
121. #16839989C22semidirect
122. #16839985C22semidirect
123. #16839984C22semidirect
124. #16839981C22semidirect
125. #16839971C22semidirect
126. #16839970C22semidirect
127. #16839961C22semidirect
128. #16839960C22semidirect
129. #16839927C22semidirect
130. #16839927C22semidirect
131. #16839926C22semidirect
132. #16839924C22semidirect
133. #16839923C22semidirect
134. #16839923C22semidirect
135. #16839922C22semidirect
136. #16839919C22semidirect
137. #16839918C22semidirect
138. #16839916C22semidirect
139. #16839915C22semidirect
140. #16839914C22semidirect
141. #16839912C22semidirect
142. #16839911C22semidirect
143. #16839867C22semidirect
144. #16839864C22semidirect
145. #16839860C22semidirect
146. Q16×Dic61C22semidirect
147. #16839854C22semidirect
148. #16839849C22semidirect
149. #16839847C22semidirect
150. #16839838C22semidirect
151. #16839837C22semidirect
152. #16839835C22semidirect
153. #16839834C22semidirect
154. #16839832C22semidirect
157. #16839801C22semidirect
158. #16839801C22semidirect
159. #16839801C22semidirect
160. #16839784C22semidirect
161. #16839769C22semidirect
162. #16839764C22semidirect
163. #16839763C22semidirect
167. #16839762C22semidirect
168. #16839762C22semidirect
169. #16839762C22semidirect
170. #16839762C22semidirect
171. #16839762C22semidirect
172. #16839762C22semidirect
173. #16839762C22semidirect
174. #16839761C22semidirect
175. #16839760C22semidirect
176. #16839760C22semidirect
177. #16839760C22semidirect
178. C2×#14519701C22semidirect
179. #103×D61C22semidirect
180. #103×D61C22semidirect
181. C2×#14519699C22semidirect
182. C2×#14519697C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. #16839724C22semidirect
186. #16839724C22semidirect
187. #16839714C22semidirect
188. C61×#554C22semidirect
190. C61×#489C22semidirect
191. C61×#483C22semidirect
192. C61×#481C22semidirect
193. C61×#475C22semidirect
194. C61×#470C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#451C22semidirect
199. C61×#441C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C2×#103×C61C22semidirect
784. C22⋊D61#137semidirect
920. #3316D61semidirect
971. #554C2×D61semidirect
1006. #489C2×D61semidirect
1018. #483C2×D61semidirect
1022. #481C2×D61semidirect
1032. #475C2×D61semidirect
1038. #470C2×D61semidirect
1050. #465C2×D61semidirect
1054. #464C2×D61semidirect
1066. #452C2×D61semidirect
1070. #451C2×D61semidirect
1076. #441C2×D61semidirect
1088. #435C2×D61semidirect
1112. #417C2×D61semidirect
1116. C2×#103C2×D61semidirect
1124. C61#61162semidirect

Maximal subgroups

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

subgroupindex
#554×D612
#214593082
#214581532
#214581502
#214581332
#214581302
#214579352
#214579302
#214579272
#214579072
#214579022
#214578992
#214578942
#214576912
#214576882
#214576412
#214576382
#214562112
#214557432
#214557412
#214556292
#214554482
#214554422
#214552892
#214550782
#214550762
#214546352
#214545522
C2×#168397622
#417×D612
C61×#33162
#6116261