Finite Group Databasebeta

← #30573485

Subgroups — #30573485

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460405C211yesmaximal, characteristic, complemented
2#21459833C211yesmaximal, characteristic, complemented
3#21458894C211yesmaximal, characteristic, complemented
4#21458629C211yesmaximal, characteristic, complemented
5#21458561C211yesmaximal, characteristic, complemented
6#21458012C211yesmaximal, characteristic, complemented
7#21457980C211yesmaximal, characteristic, complemented
8#21457890C211yesmaximal, characteristic, complemented
9#21457862C211yesmaximal, characteristic, complemented
10#21457761C211yesmaximal, characteristic, complemented
11#21457738C211yesmaximal, characteristic, complemented
12#21457555C211yesmaximal, characteristic, complemented
13#21457525C211yesmaximal, characteristic, complemented
14#21457403C211yesmaximal, characteristic, complemented
15#21457388C211yesmaximal, characteristic, complemented
16#21457380C211yesmaximal, characteristic, complemented
17#21457335C211yesmaximal, characteristic, complemented
18#21457242C211yesmaximal, characteristic, complemented
19#21457235C211yesmaximal, characteristic, complemented
20#21457152C211yesmaximal, characteristic, complemented
21#21456921C211yesmaximal, characteristic, complemented
22#21456908C211yesmaximal, characteristic, complemented
23#21456825C211yesmaximal, characteristic, complemented
24#21456118C211yesmaximal, characteristic, complemented
25#21456107C211yesmaximal, characteristic, complemented
26#21455924C211yesmaximal, characteristic, complemented
27#21455347C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455271C211yesmaximal, characteristic, complemented
30#21454957C211yesmaximal, characteristic, complemented
31C61×#3401C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35C2×#14519796C2211yescharacteristic, complemented
36C2×Q16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic
38#16840506—21no—
39#16840502—21no—
40Q8×Dic122C2211yescharacteristic, complemented
41#16840485C2211yescharacteristic
42#16840485C2211yescharacteristic
43#16840485C2211yescharacteristic, complemented
44#16840483—21no—
45#16840479—21no—
46#16840479—21no—
47#16840477C2211yescharacteristic
48#16840475—21no—
49#16840458—21no—
50#16840435—21no—
51#16840432C2211yescharacteristic
52#16840427C2211yescharacteristic
53#16840424C2211yescharacteristic
54#16840420C2211yescharacteristic
55#16840420C2211yescharacteristic
56#16840420C2211yescharacteristic, complemented
57#16840416C2211yescharacteristic
58#16840407C2211yescharacteristic
59#16840405C2211yescharacteristic
60#16840381C2211yescharacteristic
61#16840381C2211yescharacteristic, complemented
62#16840378—21no—
63#16840378—21no—
64#16840370C2211yescharacteristic
65#16840364—21no—
66#16840363C2211yescharacteristic
67#16840356—21no—
68#16840346—21no—
69#16840345—21no—
70#16840332C2211yescharacteristic
71#16840325C2211yescharacteristic
72#16840317C2211yescharacteristic, complemented
73#16840315—21no—
74#16840311C2211yescharacteristic
75#16840299C2211yescharacteristic
76#16840298—21no—
77#16840294C2211yescharacteristic
78#16840238C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840157C2211yescharacteristic, complemented
82#16840154C2211yescharacteristic
83#16840144C2211yescharacteristic
84#16840122C2211yescharacteristic
85#16840122C2211yescharacteristic
86#16840121C2211yescharacteristic
87#16840121C2211yescharacteristic, complemented
88#16840113C2211yescharacteristic, complemented
89#16840108C2211yescharacteristic
90#16840106C2211yescharacteristic
91#16840106C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840072C2211yescharacteristic, complemented
97#16840067C2211yescharacteristic, complemented
98#16840067C2211yescharacteristic, complemented
99#16840064C2211yescharacteristic, complemented
100#16840057C2211yescharacteristic, complemented
101#16840053C2211yescharacteristic
102#16840048C2211yescharacteristic, complemented
103#16840048C2211yescharacteristic, complemented
104#16840042C2211yescharacteristic
105#16840042C2211yescharacteristic, complemented
106#16840017C2211yescharacteristic
107#16840012C2211yescharacteristic, complemented
108#16840011C2211yescharacteristic
109#16840007C2211yescharacteristic
110#16840002C2211yescharacteristic
111#16840002C2211yescharacteristic, complemented
112#16840002C2211yescharacteristic, complemented
113#16839997C2211yescharacteristic
114#16839988C2211yescharacteristic
115#16839988C2211yescharacteristic
116#16839988C2211yescharacteristic
117#16839988C2211yescharacteristic, complemented
118#16839985C2211yescharacteristic
119#16839985C2211yescharacteristic
120#16839984C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839982C2211yescharacteristic
123#16839982C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839981C2211yescharacteristic, complemented
126#16839981C2211yescharacteristic, complemented
127#16839977C2211yescharacteristic
128#16839975C2211yescharacteristic
129#16839974C2211yescharacteristic
130#16839973C2211yescharacteristic, complemented
131#16839972C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839970C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839969C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic
138#16839960C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839959C2211yescharacteristic
141#16839955C2211yescharacteristic
142#16839925C2211yescharacteristic, complemented
143#16839923C2211yescharacteristic
144#16839923C2211yescharacteristic
145#16839921C2211yescharacteristic
146#16839921C2211yescharacteristic
147#16839921C2211yescharacteristic, complemented
148#16839921C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic
150#16839916C2211yescharacteristic
151#16839916C2211yescharacteristic, complemented
152#16839911C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839904C2211yescharacteristic
155#16839904C2211yescharacteristic
156#16839902C2211yescharacteristic
157#16839899C2211yescharacteristic, complemented
158#16839899C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic
160#16839893C2211yescharacteristic, complemented
161#16839870C2211yescharacteristic, complemented
162#16839870C2211yescharacteristic, complemented
163#16839862C2211yescharacteristic
164#16839862C2211yescharacteristic, complemented
165#16839862C2211yescharacteristic, complemented
166#16839860C2211yescharacteristic
167C4×#11758202C2211yescharacteristic, complemented
168C4×#11758202C2211yescharacteristic, complemented
169C4×#11758190C2211yescharacteristic
170#16839835C2211yescharacteristic
171#16839835C2211yescharacteristic, complemented
172#16839832C2211yescharacteristic
173#16839832C2211yescharacteristic
174C8×D244C2211yescharacteristic
175#16839827C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic
177#16839821C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839787C2211yescharacteristic
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic, complemented
188C61×#559C2211yescharacteristic
189C61×#556C2211yescharacteristic, complemented
190C61×#497C2211yescharacteristic, complemented
191C61×#496C2211yescharacteristic
192C61×#495C2211yescharacteristic
193C61×#464C2211yescharacteristic
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#461C2211yescharacteristic
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#441C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212#14519806—42no—
213#14519806—42no—
214#14519798—42no—
215#14519796—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223Q16×D61—42no—
224C2×#11758190C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231SD16×D61—42no—
232C2×#11758199C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C2×#11758189C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239#14519777C2311yescharacteristic
240#14519777C2311yescharacteristic
241#14519777C2311yescharacteristic
242#14519777C2311yescharacteristic
243#14519776—21no—
244#14519776—21no—
245#14519776—21no—
246#14519776—21no—
247#14519775C2311yescharacteristic
248#14519773—21no—
249#14519773C2311yescharacteristic
250#14519772—21no—
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772D411yescharacteristic
258#14519772D411yescharacteristic
259#14519771—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519769—21no—
264#14519768—21no—
265#14519768D411yescharacteristic
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519766D411yescharacteristic
269#14519765—21no—
270#14519765—21no—
271#14519765—21no—
272#14519765C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519764C2311yescharacteristic
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519762D411yescharacteristic
283#14519762D411yescharacteristic
284#14519761—21no—
285#14519761—21no—
286#14519761—21no—
287#14519761—21no—
288#14519761—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519757—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519757C2311yescharacteristic
299#14519755—21no—
300#14519755—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519753—21no—
309#14519753D411yescharacteristic
310#14519753C2311yescharacteristic
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519753C2311yescharacteristic
314#14519753C2311yescharacteristic
315#14519752—21no—
316#14519752D411yescharacteristic
317#14519752C2311yescharacteristic
318#14519751—21no—
319#14519751—21no—
320#14519751—21no—
321#14519751—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519748C2311yescharacteristic
334#14519748C2311yescharacteristic
335#14519748C2311yescharacteristic
336#14519748C2311yescharacteristic
337#14519747—21no—
338#14519747—21no—
339#14519745—21no—
340#14519745—21no—
341Q8×Dic61—21no—
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344C4×Dic122—21no—
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122C2311yescharacteristic
349C4×Dic122C2311yescharacteristic
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352C4×Dic122C2311yescharacteristic
353#14519742—21no—
354#14519742—21no—
355#14519742—21no—
356#14519742C2311yescharacteristic
357C4×D244—21no—
358C4×D244C2311yescharacteristic
359C4×D244C2311yescharacteristic
360C4×D244C2311yescharacteristic
361C4×D244C2311yescharacteristic
362D4×Dic61—21no—
363D4×Dic61C2311yescharacteristic
364#14519739—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519736—21no—
374#14519736—21no—
375#14519735—21no—
376#14519735—21no—
377#14519735—21no—
378#14519735—21no—
379#14519735C2311yescharacteristic
380#14519735C2311yescharacteristic
381#14519735C2311yescharacteristic
382#14519734—21no—
383#14519734—21no—
384#14519734C2311yescharacteristic
385#14519734C2311yescharacteristic
386#14519733—21no—
387C2×C4⋊Dic61—21no—
388C2×#11758198—21no—
389C22⋊C4×D61—21no—
390C2×C4×Dic61—21no—
391C42×D61C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519710C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
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—
485C2×Q8×C61C2×D411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—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—
508C22×Dic61—21no—
509C22×Dic61—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—
525#11758224—41no—
526#11758224—41no—
527#11758224—41no—
528#11758224—41no—
529D4×D61—41no—
530D4×D61—41no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244C2×D411yescharacteristic
534C2×D244C2×D411yescharacteristic
535C2×D244C2×D411yescharacteristic
536C2×D244C2411yescharacteristic
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2×D411yescharacteristic
544C2×C4×D61C2411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—41no—
557Q16×C61—41no—
558SD16×C61—41no—
559SD16×C61—41no—
560SD16×C61—41no—
561SD16×C61—41no—
562SD16×C61—41no—
563D8×C61—41no—
564D8×C61—41no—
565C2×C8×C61C2411yescharacteristic
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61C2×D411yescharacteristic
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2×D411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C42×C61—21no—
591C42×C61—21no—
592C42×C61—21no—
593C42×C61C2411yescharacteristic
594C42×C61C2411yescharacteristic
595C42×C61C2411yescharacteristic
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603#11758202—22no—
604#11758202—41no—
605#11758202—41no—
606#11758202—41no—
607#11758202—41no—
608#11758201—41no—
609#11758201—41no—
610#11758200—22no—
611#11758200—22no—
612#11758200—41no—
613#11758200—41no—
614#11758199—41no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
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#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61C2×D411yescharacteristic
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694Dic244—22no—
695Dic244—22no—
696#11758190—22no—
697#11758189—41no—
698#11758189—41no—
699C8×D61—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C22×D61—21no—
707C22×D61—81no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—41no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—81no—
727D4×C61—81no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—42no—
734C2×C4×C61—81no—
735C2×C4×C61—81no—
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C2511yescharacteristic
743C22⋊D61—42no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—42no—
762C2×Dic61—81no—
763C2×Dic61—81no—
764C2×Dic61—81no—
765C2×Dic61—81no—
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771D244—21no—
772D244—21no—
773D244—41no—
774D244—41no—
775D244—41no—
776D244—81no—
777D244—81no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—21no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—21no—
784C4×D61—41no—
785C4×D61—41no—
786C4×D61—42no—
787C4×D61—42no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—42no—
797Dic122—42no—
798Dic122—81no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122H(5,𝔽2)12yes—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61C23×D411yescharacteristic
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—21no—
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—21no—
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—21no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61C2×H(5,𝔽2)11yescharacteristic
847C4×C61#58511yescharacteristic
848Dic61—21no—
849Dic61—21no—
850Dic61—22no—
851Dic61—21no—
852Dic61—21no—
853Dic61—21no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401D6111yescharacteristic, complemented
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—81no—
892C2×C61—81no—
893C2×C61—81no—
894C2×C61#348811yescharacteristic
895C2×C61#358411yescharacteristic
896C2×C61#358611yescharacteristic
897D61—41no—
898D61—41no—
899D61—41no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559C2×D6111yescharacteristic
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—1221no—
915#556—1221no—
916#556—1221no—
917#556C2×D6111yescharacteristic, complemented
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497C2×D6111yescharacteristic, complemented
955#496C2×D6111yescharacteristic
956#495—611no—
957#495C2×D6111yescharacteristic
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464C2×D6111yescharacteristic
1002#464C2×D6111yescharacteristic, complemented
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463C2×D6111yescharacteristic, complemented
1007#463C2×D6111yescharacteristic, complemented
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462—611no—
1014#461—611no—
1015#461C2×D6111yescharacteristic
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460C2×D6111yescharacteristic
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446C2×D6111yescharacteristic, complemented
1042#442C2×D6111yescharacteristic
1043#441—611no—
1044#441—611no—
1045#441C2×D6111yescharacteristic, complemented
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16C2×D6111yescharacteristic, complemented
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416—611no—
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41—611no—
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—2442no—
1094C2×Q16C22×D6111yescharacteristic
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—2442no—
1104C2×SD16C22×D6111yescharacteristic
1105C2×SD16C22×D6111yescharacteristic
1106C2×SD16C22×D6111yescharacteristic
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8C22×D6111yescharacteristic
1111C2×D8C22×D6111yescharacteristic
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8—611no—
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—1221no—
1130#127C22×D6111yescharacteristic
1131#126—21no—
1132#126—21no—
1133#126—611no—
1134#126—611no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—21no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—1221no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124C22×D6111yescharacteristic
1167#124C22×D6111yescharacteristic
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—21no—
1172#123—611no—
1173#123—611no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—21no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—611no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206#121—611no—
1207#121—611no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8C22×D6111yescharacteristic
1249C4×Q8C22×D6111yescharacteristic
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—21no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4C22×D6111yescharacteristic
1270C4×D4C22×D6111yescharacteristic
1271C4×D4C22×D6111yescharacteristic
1272#117—21no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97C22×D6111yescharacteristic
1351#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8C22×D6111yescharacteristic
1354C24—1221no—
1355#41—1222no—
1356#41—2441no—
1357#41—2441no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—611no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—1221no—
1369C2×Q8—1221no—
1370C2×Q8—1221no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1222no—
1375C2×Q8—1222no—
1376C2×Q8—2441no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8D4×D6111yescharacteristic
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—2441no—
1404C2×D4—2441no—
1405C2×D4C23×D6111yescharacteristic
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—611no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1221no—
1426Q16—41no—
1427Q16—41no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—1222no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—41no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—1222no—
1441SD16—1222no—
1442SD16—1222no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—41no—
1448D8—41no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—611no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—2441no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4D4×D6111yescharacteristic
1506C4⋊C4D4×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—611no—
1527C22⋊C4—611no—
1528C22⋊C4—611no—
1529C22⋊C4—611no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42C23×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—611no—
1577C23—611no—
1578C23—611no—
1579C23—1221no—
1580C23—4881no—
1581C23—4881no—
1582C23—4881no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—41no—
1590Q8—612no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—4881no—
1600Q8—2442no—
1601Q8—2442no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—81no—
1609D4—81no—
1610D4—1221no—
1611D4—1221no—
1612D4—4881no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—2441no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—42no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—611no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—2441no—
1662C2×C4—2441no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4C2×D4×D6111yescharacteristic
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—1221no—
1694C22—1221no—
1695C22—1221no—
1696C22—1221no—
1697C22—1221no—
1698C22—1221no—
1699C22—9762no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—1221no—
1716C4—1221no—
1717C4—1221no—
1718C4—1222no—
1719C4—1221no—
1720C4—1221no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—81no—
1730C2—81no—
1731C2—81no—
1732C2—4881no—
1733C2—2441no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948711yescharacteristic
1737C2#2146059111yescharacteristic
1738C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3401C2
socleC22×C61C23×D4
hypercenter#3401D61
hypocenterC61#62013
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. #21460405C2semidirect
2. #21459833C2semidirect
3. #21458894C2semidirect
4. #21458629C2semidirect
5. #21458561C2semidirect
6. #21458012C2semidirect
7. #21457980C2semidirect
8. #21457890C2semidirect
9. #21457862C2semidirect
10. #21457761C2semidirect
11. #21457738C2semidirect
12. #21457555C2semidirect
13. #21457525C2semidirect
14. #21457403C2semidirect
15. #21457388C2semidirect
16. #21457380C2semidirect
17. #21457335C2semidirect
18. #21457242C2semidirect
19. #21457235C2semidirect
20. #21457152C2semidirect
21. #21456921C2semidirect
22. #21456908C2semidirect
23. #21456825C2semidirect
24. #21456118C2semidirect
25. #21456107C2semidirect
26. #21455924C2semidirect
27. #21455347C2semidirect
28. #21455335C2semidirect
29. #21455271C2semidirect
30. #21454957C2semidirect
31. C61×#3401C2semidirect
35. C2×#14519796C22semidirect
36. C2×Q16×D61C22semidirect
40. Q8×Dic122C22semidirect
43. #16840485C22semidirect
56. #16840420C22semidirect
61. #16840381C22semidirect
72. #16840317C22semidirect
79. #16840238C22semidirect
80. C4×#11758224C22semidirect
81. #16840157C22semidirect
87. #16840121C22semidirect
88. #16840113C22semidirect
91. #16840106C22semidirect
95. #16840085C22semidirect
96. #16840072C22semidirect
97. #16840067C22semidirect
98. #16840067C22semidirect
99. #16840064C22semidirect
100. #16840057C22semidirect
102. #16840048C22semidirect
103. #16840048C22semidirect
105. #16840042C22semidirect
107. #16840012C22semidirect
111. #16840002C22semidirect
112. #16840002C22semidirect
117. #16839988C22semidirect
125. #16839981C22semidirect
126. #16839981C22semidirect
130. #16839973C22semidirect
131. #16839972C22semidirect
132. #16839971C22semidirect
133. #16839970C22semidirect
134. #16839970C22semidirect
135. #16839969C22semidirect
136. #16839965C22semidirect
142. #16839925C22semidirect
147. #16839921C22semidirect
148. #16839921C22semidirect
151. #16839916C22semidirect
157. #16839899C22semidirect
158. #16839899C22semidirect
160. #16839893C22semidirect
161. #16839870C22semidirect
162. #16839870C22semidirect
164. #16839862C22semidirect
165. #16839862C22semidirect
167. C4×#11758202C22semidirect
168. C4×#11758202C22semidirect
171. #16839835C22semidirect
175. #16839827C22semidirect
177. #16839821C22semidirect
178. #16839817C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839769C22semidirect
187. #16839755C22semidirect
189. C61×#556C22semidirect
190. C61×#497C22semidirect
194. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#463C22semidirect
199. C61×#446C22semidirect
201. C61×#441C22semidirect
202. C4×SD16×C61C22semidirect
863. #3401D61semidirect
917. #556C2×D61semidirect
954. #497C2×D61semidirect
1002. #464C2×D61semidirect
1006. #463C2×D61semidirect
1007. #463C2×D61semidirect
1041. #446C2×D61semidirect
1045. #441C2×D61semidirect
1053. C4×SD16C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604052
#214598332
#214588942
#214586292
#214585612
#214580122
#214579802
#214578902
#214578622
#214577612
#214577382
#214575552
#214575252
#214574032
#214573882
#214573802
#214573352
#214572422
#214572352
#214571522
#214569212
#214569082
#214568252
#214561182
#214561072
#214559242
#214553472
#214553352
#214552712
#214549572
C61×#34012
#6201361