Finite Group Databasebeta

← #30575504

Subgroups — #30575504

Order 15616.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460339C211yesmaximal, characteristic, complemented
2#21459833C211yesmaximal, characteristic, complemented
3#21458885C211yesmaximal, characteristic, complemented
4#21458635C211yesmaximal, characteristic, complemented
5#21458629C211yesmaximal, characteristic, complemented
6#21458053C211yesmaximal, characteristic, complemented
7#21458052C211yesmaximal, characteristic, complemented
8#21457982C211yesmaximal, characteristic, complemented
9#21457980C211yesmaximal, characteristic, complemented
10#21457892C211yesmaximal, characteristic, complemented
11#21457890C211yesmaximal, characteristic, complemented
12#21457474C211yesmaximal, characteristic, complemented
13#21457471C211yesmaximal, characteristic, complemented
14#21457335C211yesmaximal, characteristic, complemented
15#21457328C211yesmaximal, characteristic, complemented
16#21457320C211yesmaximal, characteristic, complemented
17#21457313C211yesmaximal, characteristic, complemented
18#21457278C211yesmaximal, characteristic, complemented
19#21457277C211yesmaximal, characteristic, complemented
20#21457203C211yesmaximal, characteristic, complemented
21#21456908C211yesmaximal, characteristic, complemented
22#21456906C211yesmaximal, characteristic, complemented
23#21456817C211yesmaximal, characteristic, complemented
24#21456052C211yesmaximal, characteristic, complemented
25#21456044C211yesmaximal, characteristic, complemented
26#21455966C211yesmaximal, characteristic, complemented
27#21455338C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455308C211yesmaximal, characteristic, complemented
30#21454988C211yesmaximal, characteristic, complemented
31C61×#3401C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic, complemented
33C2×#14519806C2211yescharacteristic, complemented
34C2×#14519806C2211yescharacteristic, complemented
35C2×#14519801C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38#16840509—21no—
39#16840504—21no—
40#16840497C2211yescharacteristic
41Q8×Dic122C2211yescharacteristic, complemented
42#16840485C2211yescharacteristic, complemented
43#16840485C2211yescharacteristic, complemented
44#16840483—21no—
45#16840479—21no—
46#16840479—21no—
47#16840477C2211yescharacteristic, complemented
48#16840475—21no—
49#16840427C2211yescharacteristic, complemented
50#16840424C2211yescharacteristic
51#16840420C2211yescharacteristic
52#16840420C2211yescharacteristic, complemented
53#16840420C2211yescharacteristic, complemented
54#16840408—21no—
55#16840407C2211yescharacteristic
56#16840405C2211yescharacteristic
57#16840404—21no—
58D4×D244C2211yescharacteristic
59#16840397C2211yescharacteristic
60#16840384C2211yescharacteristic
61#16840381C2211yescharacteristic, complemented
62#16840381C2211yescharacteristic, complemented
63#16840378—21no—
64#16840378—21no—
65#16840377C2211yescharacteristic
66#16840348—21no—
67#16840346—21no—
68#16840345—21no—
69#16840330C2211yescharacteristic
70#16840325C2211yescharacteristic
71#16840323—21no—
72#16840317C2211yescharacteristic, complemented
73#16840315—21no—
74#16840309C2211yescharacteristic
75#16840299C2211yescharacteristic
76#16840298—21no—
77#124×D61C2211yescharacteristic
78#16840238C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840154C2211yescharacteristic, complemented
82#16840152C2211yescharacteristic
83#16840144C2211yescharacteristic, complemented
84#16840122C2211yescharacteristic, complemented
85#16840122C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic, complemented
87#16840121C2211yescharacteristic, complemented
88#16840109C2211yescharacteristic
89#16840108C2211yescharacteristic
90#16840106C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic
93#16840088C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic
95#16840084C2211yescharacteristic, complemented
96#16840058C2211yescharacteristic, complemented
97#16840057C2211yescharacteristic, complemented
98#16840055C2211yescharacteristic, complemented
99#16840055C2211yescharacteristic, complemented
100#16840046C2211yescharacteristic, complemented
101#16840043C2211yescharacteristic, complemented
102#16840043C2211yescharacteristic, complemented
103#16840042C2211yescharacteristic, complemented
104#16840042C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic, complemented
106#16840011C2211yescharacteristic
107#16840011C2211yescharacteristic, complemented
108#16840011C2211yescharacteristic, complemented
109#16840007C2211yescharacteristic, complemented
110#16840005C2211yescharacteristic
111#16840005C2211yescharacteristic, complemented
112#16840005C2211yescharacteristic, complemented
113#16840005C2211yescharacteristic, complemented
114#16840002C2211yescharacteristic, complemented
115#16840000C2211yescharacteristic, complemented
116#16839997C2211yescharacteristic
117#16839995C2211yescharacteristic
118#16839987C2211yescharacteristic, complemented
119#16839986C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic, complemented
121#16839985C2211yescharacteristic, complemented
122#16839985C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839982C2211yescharacteristic, complemented
127#16839981C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839981C2211yescharacteristic, complemented
130#16839979C2211yescharacteristic, complemented
131#16839977C2211yescharacteristic, complemented
132#16839975C2211yescharacteristic, complemented
133#16839974C2211yescharacteristic, complemented
134#16839964C2211yescharacteristic, complemented
135#16839963C2211yescharacteristic
136#16839962C2211yescharacteristic
137#16839961C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic, complemented
139#16839960C2211yescharacteristic, complemented
140#16839959C2211yescharacteristic
141#16839955C2211yescharacteristic, complemented
142#16839923C2211yescharacteristic, complemented
143#16839921C2211yescharacteristic, complemented
144#16839919C2211yescharacteristic, complemented
145#16839916C2211yescharacteristic, complemented
146#16839916C2211yescharacteristic, complemented
147#16839916C2211yescharacteristic, complemented
148#16839911C2211yescharacteristic
149#16839911C2211yescharacteristic
150#16839911C2211yescharacteristic, complemented
151#16839911C2211yescharacteristic, complemented
152#16839908C2211yescharacteristic, complemented
153#16839906C2211yescharacteristic, complemented
154#16839904C2211yescharacteristic, complemented
155#16839904C2211yescharacteristic, complemented
156#16839902C2211yescharacteristic
157#16839899C2211yescharacteristic
158#16839894C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic, complemented
160#16839893C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic, complemented
162#16839867C2211yescharacteristic, complemented
163#16839864C2211yescharacteristic, complemented
164#16839864C2211yescharacteristic, complemented
165#16839862C2211yescharacteristic, complemented
166#16839862C2211yescharacteristic, complemented
167C4×Dic244C2211yescharacteristic, complemented
168C4×#11758202C2211yescharacteristic, complemented
169C4×#11758201C2211yescharacteristic, complemented
170#16839841C2211yescharacteristic, complemented
171#16839839C2211yescharacteristic, complemented
172#16839835C2211yescharacteristic, complemented
173#16839835C2211yescharacteristic, complemented
174#16839832C2211yescharacteristic, complemented
175#16839832C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic, complemented
177#16839821C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839787C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic
184#16839765C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic, complemented
186#16839757C2211yescharacteristic, complemented
187#16839755C2211yescharacteristic, complemented
188C61×#559C2211yescharacteristic
189C61×#556C2211yescharacteristic, complemented
190C61×#497C2211yescharacteristic, complemented
191C61×#496C2211yescharacteristic
192C61×#495C2211yescharacteristic, complemented
193C61×#464C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#461C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic, complemented
201C61×#441C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C22×D244—21no—
211C2×D4×D61—21no—
212C2×D4×D61C2311yescharacteristic
213C2×D4×D61C2311yescharacteristic
214C2×D4×D61C2311yescharacteristic
215#14519809—42no—
216#14519806—42no—
217#14519806—42no—
218#14519801—42no—
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232SD16×D61—42no—
233SD16×D61—42no—
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758189C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242#14519777C2311yescharacteristic
243#14519777C2311yescharacteristic
244#14519777C2311yescharacteristic
245#14519776—21no—
246#14519776—21no—
247#14519776—21no—
248#14519776—21no—
249#14519776C2311yescharacteristic
250#14519774C2311yescharacteristic
251#14519773C2311yescharacteristic
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772D411yescharacteristic
257#14519772D411yescharacteristic
258#14519771—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519768—21no—
263#14519768D411yescharacteristic
264#14519766—21no—
265#14519766D411yescharacteristic
266#14519766C2311yescharacteristic
267#14519765—21no—
268#14519765—21no—
269#14519765—21no—
270#14519765—21no—
271#14519765C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519762D411yescharacteristic
289#14519762D411yescharacteristic
290#14519761—21no—
291#14519761—21no—
292#14519761—21no—
293#14519760—21no—
294#14519759—21no—
295#14519757—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519756—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519753D411yescharacteristic
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519753C2311yescharacteristic
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519752—21no—
314#14519752D411yescharacteristic
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519751—21no—
318#14519751—21no—
319#14519751—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519749—21no—
328#14519749—21no—
329#14519748—21no—
330#14519748C2311yescharacteristic
331#14519748C2311yescharacteristic
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519747—21no—
335#14519747—21no—
336#14519747—21no—
337#14519747—21no—
338#14519747—21no—
339#14519747—21no—
340#14519745—21no—
341#14519745—21no—
342#14519745—21no—
343#14519745—21no—
344Q8×Dic61—21no—
345Q8×Dic61C2311yescharacteristic
346Q8×Dic61C2311yescharacteristic
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122—21no—
351C4×Dic122C2311yescharacteristic
352C4×Dic122C2311yescharacteristic
353C4×Dic122C2311yescharacteristic
354C4×Dic122C2311yescharacteristic
355#14519742—21no—
356#14519742—21no—
357#14519742—21no—
358#14519742C2311yescharacteristic
359C4×D244—21no—
360C4×D244C2311yescharacteristic
361C4×D244C2311yescharacteristic
362C4×D244C2311yescharacteristic
363C4×D244C2311yescharacteristic
364C4×D244C2311yescharacteristic
365D4×Dic61C2311yescharacteristic
366#14519739—21no—
367#14519739—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519736—21no—
375#14519735—21no—
376#14519735—21no—
377#14519735—21no—
378#14519735C2311yescharacteristic
379#14519735C2311yescharacteristic
380#14519735C2311yescharacteristic
381#14519734—21no—
382#14519734—21no—
383#14519734C2311yescharacteristic
384#14519734C2311yescharacteristic
385#14519733—21no—
386C2×#11758198—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C2×C4×Dic61—21no—
391C42×D61C2311yescharacteristic
392#14519711C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519688C2311yescharacteristic
439#14519688C2311yescharacteristic
440C4×#92418C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C4⋊Q8×C61C2311yescharacteristic
451#127×C61C2311yescharacteristic
452#126×C61—21no—
453#126×C61—21no—
454#124×C61—21no—
455#124×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460#123×C61—21no—
461C22⋊Q8×C61—21no—
462C4×Q8×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×Q8×C61C2311yescharacteristic
466C4×D4×C61—21no—
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469C4×D4×C61C2311yescharacteristic
470#117×C61—21no—
471#106×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487C2×Q8×C61C2×D411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513#11758226—41no—
514#11758226—41no—
515Q8×D61—22no—
516Q8×D61—22no—
517Q8×D61—41no—
518Q8×D61—41no—
519Q8×D61—41no—
520Q8×D61—41no—
521#11758224—22no—
522#11758224—41no—
523#11758224—41no—
524#11758224—41no—
525D4×D61—41no—
526D4×D61—41no—
527D4×D61—41no—
528D4×D61—41no—
529D4×D61—41no—
530D4×D61—41no—
531D4×D61—82no—
532#11758222—82no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—21no—
537C2×D244—21no—
538C2×D244—82no—
539C2×D244C2×D411yescharacteristic
540C2×D244C2×D411yescharacteristic
541C2×D244C2×D411yescharacteristic
542C2×D244C2411yescharacteristic
543C2×D244C2411yescharacteristic
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61C2×D411yescharacteristic
551C2×C4×D61C2×D411yescharacteristic
552C2×C4×D61C2411yescharacteristic
553C2×C4×D61C2411yescharacteristic
554C2×C4×D61C2411yescharacteristic
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—21no—
559C2×Dic122—21no—
560C2×Dic122—21no—
561C2×Dic122—21no—
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—41no—
565Q16×C61—41no—
566SD16×C61—41no—
567SD16×C61—41no—
568SD16×C61—41no—
569SD16×C61—41no—
570SD16×C61—41no—
571D8×C61—41no—
572D8×C61—41no—
573C2×C8×C61C2411yescharacteristic
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61C2×D411yescharacteristic
583C4⋊C4×C61C2×D411yescharacteristic
584C4⋊C4×C61C2×D411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C4⋊C4×C61C2411yescharacteristic
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C42×C61—21no—
599C42×C61—21no—
600C42×C61—21no—
601C42×C61C2411yescharacteristic
602C42×C61C2411yescharacteristic
603C42×C61C2411yescharacteristic
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611#11758202—22no—
612#11758202—41no—
613#11758202—41no—
614#11758201—41no—
615#11758201—41no—
616#11758201—41no—
617#11758201—41no—
618#11758200—22no—
619#11758200—22no—
620#11758200—41no—
621#11758199—41no—
622#11758199—41no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651#11758198C2×D411yescharacteristic
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61C2×D411yescharacteristic
659C4⋊Dic61C2×D411yescharacteristic
660C4⋊Dic61C2×D411yescharacteristic
661C4⋊Dic61C2411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697Dic244—22no—
698#11758190—22no—
699#11758190—22no—
700#11758189—41no—
701#11758189—41no—
702#11758189—41no—
703#11758189—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—42no—
712C22×D61—81no—
713C22×D61—81no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61C22×D411yescharacteristic
721C22×D61C22×D411yescharacteristic
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—41no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—81no—
737D4×C61—81no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—42no—
744C2×C4×C61—81no—
745C2×C4×C61—81no—
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C2511yescharacteristic
753C22⋊D61—42no—
754C22⋊D61—42no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—42no—
771C2×Dic61—81no—
772C2×Dic61—81no—
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778D244—21no—
779D244—21no—
780D244—21no—
781D244—21no—
782D244—41no—
783D244—41no—
784D244—41no—
785D244—42no—
786D244—81no—
787D244—81no—
788D244—81no—
789D244—81no—
790C4×D61—21no—
791C4×D61—21no—
792C4×D61—21no—
793C4×D61—21no—
794C4×D61—21no—
795C4×D61—21no—
796C4×D61—41no—
797C4×D61—41no—
798C4×D61—42no—
799C4×D61—42no—
800C4×D61—81no—
801C4×D61—81no—
802C4×D61—81no—
803C4×D61—81no—
804Dic122—21no—
805Dic122—21no—
806Dic122—21no—
807Dic122—42no—
808Dic122—42no—
809Dic122—81no—
810Dic122—81no—
811Dic122—81no—
812Dic122—81no—
813Dic122—81no—
814Dic122H(5,𝔽2)12yes—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62092—611nomaximal, Sylow
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61C23×D411yescharacteristic
834C2×D61—21no—
835C2×D61—21no—
836C2×D61—21no—
837C2×D61—21no—
838C2×D61—21no—
839C2×D61—21no—
840C2×D61—21no—
841C2×D61—21no—
842C2×D61—21no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—162no—
850C2×D61—162no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—21no—
857C4×C61—21no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61C2×H(5,𝔽2)11yescharacteristic
864C4×C61#58511yescharacteristic
865Dic61—21no—
866Dic61—21no—
867Dic61—22no—
868Dic61—21no—
869Dic61—21no—
870Dic61—21no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876#3558—611no—
877#3518—611no—
878#3401—611no—
879#3401D6111yescharacteristic, complemented
880#3375—611no—
881#3375—611no—
882#3324—611no—
883#3324—611no—
884#3319—611no—
885#3319—611no—
886#3313—611no—
887#3313—611no—
888#3277—611no—
889#3277—611no—
890#3266—611no—
891#3266—611no—
892#3265—611no—
893#3265—611no—
894#3262—611no—
895#3262—611no—
896#3254—611no—
897#3224—611no—
898#3224—611no—
899#3215—611no—
900#3121—611no—
901#3121—611no—
902#3115—611no—
903#3043—611no—
904#3043—611no—
905#3040—611no—
906#2995—611no—
907C2×C61—81no—
908C2×C61—81no—
909C2×C61—81no—
910C2×C61#348811yescharacteristic
911C2×C61#358511yescharacteristic
912C2×C61#358611yescharacteristic
913D61—41no—
914D61—41no—
915D61—41no—
916D61—81no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×#137—611no—
921C2×AGL(1,ℤ/8)—611no—
922C22×SD16—611no—
923C22×SD16—611no—
924#562—1221no—
925H(3,𝔽4)—1221no—
926#559—611no—
927#559C2×D6111yescharacteristic
928Q82—611no—
929#556—611no—
930#556—611no—
931#556—1221no—
932#556—1221no—
933#556—1221no—
934#556C2×D6111yescharacteristic, complemented
935#555—611no—
936#555—1221no—
937D4×Q8—611no—
938#548—611no—
939#548—611no—
940#548—611no—
941#548—611no—
942#546—611no—
943#546—611no—
944#546—1221no—
945#546—1221no—
946D42—611no—
947D42—611no—
948#542—611no—
949#542—611no—
950#542—611no—
951#542—611no—
952#542—1221no—
953#542—1221no—
954#538—1221no—
955#538—1221no—
956#538—1221no—
957#535—611no—
958#535—611no—
959#534—1221no—
960#533—611no—
961#533—1221no—
962#532—611no—
963#529—611no—
964#529—1221no—
965C2×#124—611no—
966#519—611no—
967#519—611no—
968C4×#41—611no—
969#497—611no—
970#497C2×D6111yescharacteristic, complemented
971#496—611no—
972#496C2×D6111yescharacteristic
973#495—611no—
974#495C2×D6111yescharacteristic, complemented
975#489—611no—
976#489—611no—
977#489—611no—
978#489—611no—
979#486—611no—
980#486—611no—
981#485—611no—
982#485—611no—
983#482—611no—
984#482—611no—
985#482—611no—
986#482—611no—
987#477—611no—
988#477—611no—
989#477—611no—
990#477—611no—
991#475—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474—611no—
996#474—611no—
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468—611no—
1004#468—611no—
1005#467—611no—
1006#467—611no—
1007#466—611no—
1008#466—611no—
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464C2×D6111yescharacteristic, complemented
1022#464C2×D6111yescharacteristic, complemented
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463C2×D6111yescharacteristic, complemented
1028#463C2×D6111yescharacteristic, complemented
1029#461—611no—
1030#461C2×D6111yescharacteristic, complemented
1031#460—611no—
1032#460—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460C2×D6111yescharacteristic
1038#459—611no—
1039#452—611no—
1040#452—611no—
1041#451—611no—
1042#451—611no—
1043#451—611no—
1044#451—611no—
1045#450—611no—
1046#450—611no—
1047#450—611no—
1048#450—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#448—611no—
1054#448—611no—
1055#447—611no—
1056#447—611no—
1057#446—611no—
1058#446C2×D6111yescharacteristic, complemented
1059#442—611no—
1060#442C2×D6111yescharacteristic, complemented
1061#441—611no—
1062#441C2×D6111yescharacteristic, complemented
1063#440—611no—
1064#440—611no—
1065#440—611no—
1066#440—611no—
1067C4×Q16—611no—
1068C4×Q16—611no—
1069C4×SD16—611no—
1070C4×SD16C2×D6111yescharacteristic, complemented
1071#436—611no—
1072#436—611no—
1073#435—611no—
1074#435—611no—
1075#435—611no—
1076#435—611no—
1077#433—611no—
1078#433—611no—
1079#432—611no—
1080#424—611no—
1081#424—611no—
1082#423—611no—
1083#419—611no—
1084#418—611no—
1085#418—611no—
1086#418—611no—
1087#416—611no—
1088#416—611no—
1089C61#6209211yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—611no—
1093C2×#41—1221no—
1094C22×Q8—611no—
1095C22×Q8—611no—
1096C22×Q8—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—1221no—
1101C22×D4—1221no—
1102#137—2442no—
1103#137—2442no—
1104#137—2442no—
1105AGL(1,ℤ/8)—2442no—
1106C2×Q16—611no—
1107C2×Q16—611no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16C22×D6111yescharacteristic
1111C2×Q16C22×D6111yescharacteristic
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—2442no—
1122C2×SD16—2442no—
1123C2×SD16C22×D6111yescharacteristic
1124C2×SD16C22×D6111yescharacteristic
1125C2×SD16C22×D6111yescharacteristic
1126C2×SD16C22×D6111yescharacteristic
1127C2×SD16C22×D6111yescharacteristic
1128C2×D8—611no—
1129C2×D8—611no—
1130C2×D8C22×D6111yescharacteristic
1131C2×D8C22×D6111yescharacteristic
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—611no—
1136C22×C8—611no—
1137C22×C8—611no—
1138C4⋊Q8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—611no—
1142C4⋊Q8—1221no—
1143C4⋊Q8—1221no—
1144C4⋊Q8—1221no—
1145C4⋊Q8—1221no—
1146C4⋊Q8C22×D6111yescharacteristic
1147#127—611no—
1148#127—611no—
1149#127C22×D6111yescharacteristic
1150#126—21no—
1151#126—21no—
1152#126—611no—
1153#126—611no—
1154#126—1221no—
1155#126—1221no—
1156#126—1221no—
1157#126—1221no—
1158#126—1221no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#125—611no—
1163#125—1221no—
1164#124—21no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—1221no—
1171#124—1221no—
1172#124—1221no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124C22×D6111yescharacteristic
1187#124C22×D6111yescharacteristic
1188#124C22×D6111yescharacteristic
1189#124C22×D6111yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—611no—
1193#123—611no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202C22⋊Q8—21no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—611no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#120—1221no—
1243#120—1221no—
1244#120—1221no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250#120—1221no—
1251#120—1221no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—1221no—
1260C4×Q8—1221no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8C22×D6111yescharacteristic
1268C4×Q8C22×D6111yescharacteristic
1269C4×Q8C22×D6111yescharacteristic
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—21no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4C22×D6111yescharacteristic
1288C4×D4C22×D6111yescharacteristic
1289C4×D4C22×D6111yescharacteristic
1290#117—21no—
1291#117—611no—
1292#117—611no—
1293#117—611no—
1294#117—611no—
1295#117—611no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C42—611no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107—611no—
1312#107—611no—
1313#107—611no—
1314#107—611no—
1315#106—611no—
1316#106C22×D6111yescharacteristic
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8C22×D6111yescharacteristic
1325C4⋊C8C22×D6111yescharacteristic
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103C22×D6111yescharacteristic
1339#103C22×D6111yescharacteristic
1340#103C22×D6111yescharacteristic
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8—611no—
1364C22⋊C8—611no—
1365#97—611no—
1366#97—611no—
1367#97C22×D6111yescharacteristic
1368#97C22×D6111yescharacteristic
1369C4×C8—611no—
1370C4×C8C22×D6111yescharacteristic
1371C24—1221no—
1372C24—1221no—
1373C24—1221no—
1374#41—1222no—
1375#41—4882no—
1376#41—2441no—
1377#41—2441no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381C2×Q8—611no—
1382C2×Q8—611no—
1383C2×Q8—1221no—
1384C2×Q8—1221no—
1385C2×Q8—1221no—
1386C2×Q8—1221no—
1387C2×Q8—1221no—
1388C2×Q8—1221no—
1389C2×Q8—1221no—
1390C2×Q8—1222no—
1391C2×Q8—1222no—
1392C2×Q8—2441no—
1393C2×Q8—2441no—
1394C2×Q8—2441no—
1395C2×Q8—2441no—
1396C2×Q8D4×D6111yescharacteristic
1397C2×Q8C23×D6111yescharacteristic
1398C2×Q8C23×D6111yescharacteristic
1399C2×Q8C23×D6111yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—611no—
1403C2×D4—611no—
1404C2×D4—611no—
1405C2×D4—611no—
1406C2×D4—611no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—4882no—
1424C2×D4—4882no—
1425C2×D4—2441no—
1426C2×D4—2441no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4C23×D6111yescharacteristic
1432C2×D4C23×D6111yescharacteristic
1433C2×D4C23×D6111yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—611no—
1441C22×C4—611no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4—1221no—
1450C22×C4—1221no—
1451Q16—41no—
1452Q16—41no—
1453Q16—1222no—
1454Q16—1222no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—1222no—
1463SD16—1222no—
1464SD16—1222no—
1465SD16—1222no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471D8—41no—
1472D8—41no—
1473D8—2441no—
1474D8—2441no—
1475M16—2441no—
1476M16—2441no—
1477M16—2441no—
1478M16—2441no—
1479C2×C8—611no—
1480C2×C8—611no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—2441no—
1484C2×C8—2441no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—611no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4D4×D6111yescharacteristic
1523C4⋊C4D4×D6111yescharacteristic
1524C4⋊C4D4×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—611no—
1542C22⋊C4—611no—
1543C22⋊C4—611no—
1544C22⋊C4—611no—
1545C22⋊C4—611no—
1546C22⋊C4—611no—
1547C22⋊C4—611no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—611no—
1578C42—611no—
1579C42—611no—
1580C42—1221no—
1581C42—1221no—
1582C42—1221no—
1583C42—1221no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42C23×D6111yescharacteristic
1591C42C23×D6111yescharacteristic
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—611no—
1597C23—611no—
1598C23—611no—
1599C23—1221no—
1600C23—1221no—
1601C23—4881no—
1602C23—4881no—
1603C23—4881no—
1604C23—4881no—
1605C23—4881no—
1606C23—4881no—
1607C23—4881no—
1608C23—4881no—
1609C23—2442no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—41no—
1617Q8—612no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—4881no—
1622Q8—4881no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—4881no—
1626Q8—2442no—
1627Q8—2442no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—4881no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—2441no—
1654D4—2441no—
1655D4—2441no—
1656D4—2442no—
1657D4—2442no—
1658D4—2442no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—42no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—611no—
1668C2×C4—611no—
1669C2×C4—611no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—4881no—
1685C2×C4—4881no—
1686C2×C4—4881no—
1687C2×C4—4881no—
1688C2×C4—4881no—
1689C2×C4—4881no—
1690C2×C4—2441no—
1691C2×C4—2441no—
1692C2×C4—2442no—
1693C2×C4—2442no—
1694C2×C4—2442no—
1695C2×C4C2×D4×D6111yescharacteristic
1696C2×C4C2×D4×D6111yescharacteristic
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1221no—
1720C22—1221no—
1721C22—1221no—
1722C22—1221no—
1723C22—1221no—
1724C22—1221no—
1725C22—1221no—
1726C22—1221no—
1727C22—1221no—
1728C22—9762no—
1729C22—9762no—
1730C22—9762no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1221no—
1750C4—1221no—
1751C4—1221no—
1752C4—1222no—
1753C4—1221no—
1754C4—1221no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4H(5,𝔽2)×D6111yescharacteristic
1761C4#1684059811yescharacteristic
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—4881no—
1766C2—4881no—
1767C2—2441no—
1768C2—2441no—
1769C2—2441no—
1770C2#2145948711yescharacteristic
1771C2#2146059711yescharacteristic
1772C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3401C2
socleC22×C61C23×D4
hypercenter#3401D61
hypocenterC61#62092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #21460339C2semidirect
2. #21459833C2semidirect
3. #21458885C2semidirect
4. #21458635C2semidirect
5. #21458629C2semidirect
6. #21458053C2semidirect
7. #21458052C2semidirect
8. #21457982C2semidirect
9. #21457980C2semidirect
10. #21457892C2semidirect
11. #21457890C2semidirect
12. #21457474C2semidirect
13. #21457471C2semidirect
14. #21457335C2semidirect
15. #21457328C2semidirect
16. #21457320C2semidirect
17. #21457313C2semidirect
18. #21457278C2semidirect
19. #21457277C2semidirect
20. #21457203C2semidirect
21. #21456908C2semidirect
22. #21456906C2semidirect
23. #21456817C2semidirect
24. #21456052C2semidirect
25. #21456044C2semidirect
26. #21455966C2semidirect
27. #21455338C2semidirect
28. #21455335C2semidirect
29. #21455308C2semidirect
30. #21454988C2semidirect
31. C61×#3401C2semidirect
32. C2×#14519809C22semidirect
33. C2×#14519806C22semidirect
34. C2×#14519806C22semidirect
36. C2×SD16×D61C22semidirect
37. C2×SD16×D61C22semidirect
41. Q8×Dic122C22semidirect
42. #16840485C22semidirect
43. #16840485C22semidirect
47. #16840477C22semidirect
49. #16840427C22semidirect
52. #16840420C22semidirect
53. #16840420C22semidirect
61. #16840381C22semidirect
62. #16840381C22semidirect
72. #16840317C22semidirect
78. #16840238C22semidirect
79. #16840238C22semidirect
80. C4×#11758224C22semidirect
81. #16840154C22semidirect
83. #16840144C22semidirect
84. #16840122C22semidirect
85. #16840122C22semidirect
86. #16840121C22semidirect
87. #16840121C22semidirect
90. #16840106C22semidirect
91. #16840102C22semidirect
93. #16840088C22semidirect
95. #16840084C22semidirect
96. #16840058C22semidirect
97. #16840057C22semidirect
98. #16840055C22semidirect
99. #16840055C22semidirect
100. #16840046C22semidirect
101. #16840043C22semidirect
102. #16840043C22semidirect
103. #16840042C22semidirect
104. #16840042C22semidirect
105. #16840040C22semidirect
107. #16840011C22semidirect
108. #16840011C22semidirect
109. #16840007C22semidirect
111. #16840005C22semidirect
112. #16840005C22semidirect
113. #16840005C22semidirect
114. #16840002C22semidirect
115. #16840000C22semidirect
118. #16839987C22semidirect
119. #16839986C22semidirect
120. #16839986C22semidirect
121. #16839985C22semidirect
122. #16839985C22semidirect
123. #16839984C22semidirect
124. #16839983C22semidirect
125. #16839982C22semidirect
126. #16839982C22semidirect
127. #16839981C22semidirect
128. #16839981C22semidirect
129. #16839981C22semidirect
130. #16839979C22semidirect
131. #16839977C22semidirect
132. #16839975C22semidirect
133. #16839974C22semidirect
134. #16839964C22semidirect
137. #16839961C22semidirect
138. #16839960C22semidirect
139. #16839960C22semidirect
141. #16839955C22semidirect
142. #16839923C22semidirect
143. #16839921C22semidirect
144. #16839919C22semidirect
145. #16839916C22semidirect
146. #16839916C22semidirect
147. #16839916C22semidirect
150. #16839911C22semidirect
151. #16839911C22semidirect
152. #16839908C22semidirect
153. #16839906C22semidirect
154. #16839904C22semidirect
155. #16839904C22semidirect
158. #16839894C22semidirect
159. #16839894C22semidirect
160. #16839893C22semidirect
161. #16839872C22semidirect
162. #16839867C22semidirect
163. #16839864C22semidirect
164. #16839864C22semidirect
165. #16839862C22semidirect
166. #16839862C22semidirect
167. C4×Dic244C22semidirect
168. C4×#11758202C22semidirect
169. C4×#11758201C22semidirect
170. #16839841C22semidirect
171. #16839839C22semidirect
172. #16839835C22semidirect
173. #16839835C22semidirect
174. #16839832C22semidirect
175. #16839832C22semidirect
176. #16839824C22semidirect
177. #16839821C22semidirect
178. #16839817C22semidirect
179. #16839787C22semidirect
180. #16839787C22semidirect
181. #16839784C22semidirect
182. #16839769C22semidirect
184. #16839765C22semidirect
185. #16839765C22semidirect
186. #16839757C22semidirect
187. #16839755C22semidirect
189. C61×#556C22semidirect
190. C61×#497C22semidirect
192. C61×#495C22semidirect
193. C61×#464C22semidirect
194. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#463C22semidirect
197. C61×#461C22semidirect
199. C61×#446C22semidirect
200. C61×#442C22semidirect
201. C61×#441C22semidirect
202. C4×SD16×C61C22semidirect
879. #3401D61semidirect
934. #556C2×D61semidirect
970. #497C2×D61semidirect
974. #495C2×D61semidirect
1021. #464C2×D61semidirect
1022. #464C2×D61semidirect
1027. #463C2×D61semidirect
1028. #463C2×D61semidirect
1030. #461C2×D61semidirect
1058. #446C2×D61semidirect
1060. #442C2×D61semidirect
1062. #441C2×D61semidirect
1070. C4×SD16C2×D61semidirect
1089. C61#62092semidirect

Maximal subgroups

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

subgroupindex
#214603392
#214598332
#214588852
#214586352
#214586292
#214580532
#214580522
#214579822
#214579802
#214578922
#214578902
#214574742
#214574712
#214573352
#214573282
#214573202
#214573132
#214572782
#214572772
#214572032
#214569082
#214569062
#214568172
#214560522
#214560442
#214559662
#214553382
#214553352
#214553082
#214549882
C61×#34012
#6209261