Finite Group Databasebeta

← #30576929

Subgroups — #30576929

Order 15616.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460456C211yesmaximal, characteristic, complemented
2#21459825C211yesmaximal, characteristic, complemented
3#21458787C211yesmaximal, characteristic, complemented
4#21458765C211yesmaximal, characteristic, complemented
5#21458549C211yesmaximal, characteristic, complemented
6#21458527C211yesmaximal, characteristic, complemented
7#21458362C211yesmaximal, characteristic, complemented
8#21458317C211yesmaximal, characteristic, complemented
9#21458294C211yesmaximal, characteristic, complemented
10#21458264C211yesmaximal, characteristic, complemented
11#21458214C211yesmaximal, characteristic, complemented
12#21458201C211yesmaximal, characteristic, complemented
13#21457950C211yesmaximal, characteristic, complemented
14#21457949C211yesmaximal, characteristic, complemented
15#21457830C211yesmaximal, characteristic, complemented
16#21457829C211yesmaximal, characteristic, complemented
17#21457762C211yesmaximal, characteristic, complemented
18#21457751C211yesmaximal, characteristic, complemented
19#21457235C211yesmaximal, characteristic, complemented
20#21457227C211yesmaximal, characteristic, complemented
21#21457145C211yesmaximal, characteristic, complemented
22#21457077C211yesmaximal, characteristic, complemented
23#21457069C211yesmaximal, characteristic, complemented
24#21457019C211yesmaximal, characteristic, complemented
25#21456095C211yesmaximal, characteristic, complemented
26#21456080C211yesmaximal, characteristic, complemented
27#21455684C211yesmaximal, characteristic, complemented
28#21455673C211yesmaximal, characteristic, complemented
29#21455607C211yesmaximal, characteristic, complemented
30#21454960C211yesmaximal, characteristic, complemented
31C61×#3111C211yesmaximal, characteristic, complemented
32#16840515—21no—
33#16840509—21no—
34#16840491C2211yescharacteristic
35#16840488C2211yescharacteristic
36#16840483C2211yescharacteristic
37#16840480—21no—
38#16840476C2211yescharacteristic
39#16840471C2211yescharacteristic
40#16840462C2211yescharacteristic
41#16840459C2211yescharacteristic
42#16840456—21no—
43#16840456—21no—
44#16840456C2211yescharacteristic
45#16840456C2211yescharacteristic
46#16840453C2211yescharacteristic
47#16840446C2211yescharacteristic
48#16840445—21no—
49#16840434C2211yescharacteristic
50#16840433—21no—
51#16840433C2211yescharacteristic
52#16840431C2211yescharacteristic
53#16840431C2211yescharacteristic
54#16840417—21no—
55#16840417C2211yescharacteristic
56#16840392C2211yescharacteristic
57#16840392C2211yescharacteristic
58#16840381C2211yescharacteristic
59#16840381C2211yescharacteristic
60#16840378—21no—
61#16840377—21no—
62#16840369—21no—
63#16840363—21no—
64#16840363—21no—
65#16840363C2211yescharacteristic
66#16840363C2211yescharacteristic
67#16840354—21no—
68#16840319C2211yescharacteristic
69#16840312—21no—
70#16840312C2211yescharacteristic
71#16840296—21no—
72#16840296C2211yescharacteristic
73#16840244C2211yescharacteristic
74#16840244C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840162C2211yescharacteristic
81#16840127C2211yescharacteristic
82#16840127C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840125C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840096C2211yescharacteristic
88#16840091C2211yescharacteristic
89#16840089C2211yescharacteristic
90#16840088C2211yescharacteristic
91#16840087C2211yescharacteristic
92#16840087C2211yescharacteristic
93#16840087C2211yescharacteristic
94#16840087C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840084C2211yescharacteristic
97#16840082C2211yescharacteristic
98#16840079C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840077C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840074C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840069C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840067C2211yescharacteristic
108#16840067C2211yescharacteristic
109#16840065C2211yescharacteristic
110#16840064C2211yescharacteristic
111#16840062C2211yescharacteristic
112#16840062C2211yescharacteristic
113#16840061C2211yescharacteristic
114#16840060C2211yescharacteristic
115#16840059C2211yescharacteristic
116#16840059C2211yescharacteristic
117#16840057C2211yescharacteristic
118#16840057C2211yescharacteristic
119#16840055C2211yescharacteristic
120#16840053C2211yescharacteristic
121#16840053C2211yescharacteristic
122#16840052C2211yescharacteristic
123#16840052C2211yescharacteristic
124#16840051C2211yescharacteristic
125#16840047C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840043C2211yescharacteristic
128#16840043C2211yescharacteristic
129#16840042C2211yescharacteristic
130#16840041C2211yescharacteristic
131#16840014C2211yescharacteristic
132#16840012C2211yescharacteristic
133#16840011C2211yescharacteristic
134#16840005C2211yescharacteristic
135#16839997C2211yescharacteristic
136#16839996C2211yescharacteristic
137#16839996C2211yescharacteristic
138#16839995C2211yescharacteristic
139#16839994C2211yescharacteristic
140#16839993C2211yescharacteristic
141#16839993C2211yescharacteristic
142#16839988C2211yescharacteristic
143#16839974C2211yescharacteristic
144#16839974C2211yescharacteristic
145#16839962C2211yescharacteristic
146#16839960C2211yescharacteristic
147#16839960C2211yescharacteristic
148#16839957C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839955C2211yescharacteristic
151#16839923C2211yescharacteristic
152#16839923C2211yescharacteristic
153#16839906C2211yescharacteristic
154#16839906C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839890C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839869C2211yescharacteristic
159#16839865C2211yescharacteristic
160#16839863C2211yescharacteristic
161Q16×Dic61C2211yescharacteristic
162SD16×Dic61C2211yescharacteristic
163#16839847C2211yescharacteristic
164#16839842C2211yescharacteristic
165#16839835C2211yescharacteristic
166#16839835C2211yescharacteristic
167#16839830C2211yescharacteristic
168#16839830C2211yescharacteristic
169#16839825C2211yescharacteristic
170#16839825C2211yescharacteristic
171#16839822C2211yescharacteristic
172#16839822C2211yescharacteristic
173#16839803C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839798C2211yescharacteristic
176#16839798C2211yescharacteristic
177#107×D61C2211yescharacteristic
178#106×D61C2211yescharacteristic
179#16839787C2211yescharacteristic
180#16839787C2211yescharacteristic
181C2×C4⋊#92418C2211yescharacteristic
182#16839762C2211yescharacteristic
183#16839762C2211yescharacteristic
184#16839758C2211yescharacteristic
185#16839758C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C4×#41×C61C2211yescharacteristic
190C61×#485C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#479C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#452C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758201C2311yescharacteristic
209C2×#11758201C2311yescharacteristic
210C2×#11758199C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758189C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C22×#92418C2311yescharacteristic
215C22×#92418C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218#14519777—21no—
219#14519777C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519774—21no—
228#14519774C2311yescharacteristic
229#14519773—21no—
230#14519773—21no—
231#14519773C2311yescharacteristic
232#14519773C2311yescharacteristic
233#14519772—21no—
234#14519771—21no—
235#14519771—21no—
236#14519771—21no—
237#14519771D411yescharacteristic
238#14519771D411yescharacteristic
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519769—21no—
246#14519769D411yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519765—21no—
261#14519765D411yescharacteristic
262#14519764—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519762—21no—
268#14519761—21no—
269#14519761—21no—
270#14519760—21no—
271#14519760—21no—
272#14519760—21no—
273#14519760D411yescharacteristic
274#14519760D411yescharacteristic
275#14519759—21no—
276#14519759—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519758—21no—
283#14519757—21no—
284#14519757—21no—
285#14519756—21no—
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756D411yescharacteristic
290#14519755—21no—
291#14519755—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519753C2311yescharacteristic
297#14519753C2311yescharacteristic
298#14519752—21no—
299#14519752—21no—
300#14519752C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519751—21no—
303#14519751—21no—
304#14519751—21no—
305#14519751—21no—
306#14519751—21no—
307#14519751—21no—
308#14519751D411yescharacteristic
309#14519751C2311yescharacteristic
310#14519751C2311yescharacteristic
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519749—21no—
319#14519748—21no—
320#14519748—21no—
321#14519748—21no—
322#14519748C2311yescharacteristic
323#14519748C2311yescharacteristic
324#14519748C2311yescharacteristic
325#14519748C2311yescharacteristic
326Q8×Dic61C2311yescharacteristic
327Q8×Dic61C2311yescharacteristic
328Q8×Dic61C2311yescharacteristic
329Q8×Dic61C2311yescharacteristic
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122—21no—
333C4×Dic122—21no—
334C4×Dic122C2311yescharacteristic
335#14519742—21no—
336C4×D244—21no—
337C4×D244—21no—
338C4×D244—21no—
339C4×D244—21no—
340C4×D244—21no—
341C4×D244—21no—
342C4×D244C2311yescharacteristic
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345D4×Dic61C2311yescharacteristic
346D4×Dic61C2311yescharacteristic
347#14519739—21no—
348#14519739—21no—
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61C2311yescharacteristic
355C4×C22⋊D61C2311yescharacteristic
356#14519737—21no—
357#14519736C2311yescharacteristic
358#14519736C2311yescharacteristic
359#14519735—21no—
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519734—21no—
363#14519734—21no—
364#14519734—21no—
365#14519734C2311yescharacteristic
366#14519734C2311yescharacteristic
367#14519733—21no—
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C4⋊C4×D61C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440#126×C61—21no—
441#125×C61C2311yescharacteristic
442#124×C61C2311yescharacteristic
443#123×C61—21no—
444C22⋊Q8×C61C2311yescharacteristic
445#121×C61C2311yescharacteristic
446C4×Q8×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61—21no—
456#117×C61—21no—
457#117×C61C2311yescharacteristic
458C2×C42×C61—21no—
459C2×C42×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2×D411yescharacteristic
491C22×C4×C61C2×D411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—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⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507#11758226—22no—
508#11758226—22no—
509#11758226—41no—
510#11758226—41no—
511#11758222—82no—
512#11758222—82no—
513#11758222—82no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244C2×D411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61C2411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122C2×D411yescharacteristic
541Q16×C61—22no—
542SD16×C61—22no—
543SD16×C61—41no—
544D8×C61—41no—
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C42×C61—21no—
568C42×C61—21no—
569C42×C61—21no—
570C42×C61—21no—
571C42×C61C2×D411yescharacteristic
572C42×C61C2×D411yescharacteristic
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61C2×D411yescharacteristic
584C22⋊Dic61C2×D411yescharacteristic
585#11758201—41no—
586#11758201—41no—
587#11758199—41no—
588#11758199—41no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C2×#92418—41no—
663C2×#92418—41no—
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668#11758189—41no—
669#11758189—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61C22×D411yescharacteristic
675C22×D61—21no—
676C22×D61—21no—
677C22×D61C22×D411yescharacteristic
678C22×D61C22×D411yescharacteristic
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—21no—
682Q8×C612−1+412yes—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—42no—
688D4×C61—81no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—41no—
698C2×C4×C61—41no—
699C2×C4×C61—42no—
700C2×C4×C61—42no—
701C2×C4×C61—81no—
702C2×C4×C61—81no—
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C2511yescharacteristic
709C22⋊D61—41no—
710C22⋊D61—41no—
711C22⋊D61—81no—
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⋊D61—81no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735D244—21no—
736D244—21no—
737D244—21no—
738D244—21no—
739D244—41no—
740D244—42no—
741D244—42no—
742D244—42no—
743D244—81no—
744D244—81no—
745D244—81no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760Dic122—41no—
761Dic122—42no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62162—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61C23×D411yescharacteristic
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—22no—
802C4×C61—21no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61C2×2−1+411yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822#3565—611no—
823#3517—611no—
824#3390—611no—
825#3388—611no—
826#3368—611no—
827#3366—611no—
828#3350—611no—
829#3347—611no—
830#3345—611no—
831#3343—611no—
832#3339—611no—
833#3337—611no—
834#3317—611no—
835#3317—611no—
836#3309—611no—
837#3309—611no—
838#3305—611no—
839#3304—611no—
840#3257—611no—
841#3257—611no—
842#3247—611no—
843#3241—611no—
844#3241—611no—
845#3235—611no—
846#3125—611no—
847#3124—611no—
848#3111D6111yescharacteristic, complemented
849#3084—611no—
850#3083—611no—
851#3076—611no—
852#2992—611no—
853C2×C61—41no—
854C2×C61—81no—
855C2×C61—81no—
856C2×C61#348911yescharacteristic
857C2×C61#358411yescharacteristic
858C2×C61#358511yescharacteristic
859D61—41no—
860D61—41no—
861D61—81no—
862D61—81no—
863#563—1221no—
864#562—1221no—
865#557—611no—
866#557—611no—
867#556—611no—
868#556—1221no—
869#555—611no—
870#554—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#553—611no—
875#553—1221no—
876#553—1221no—
877#552—611no—
878#552—611no—
879#552—1221no—
880#550—611no—
881#550—611no—
882#550—611no—
883#550—611no—
884#550—1221no—
885#547—611no—
886#547—1221no—
887#544—611no—
888#544—611no—
889#542—611no—
890#542—611no—
891#542—1221no—
892#542—1221no—
893#541—1221no—
894#540—611no—
895#540—611no—
896#540—1221no—
897#540—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#532—1221no—
902#529—611no—
903#529—1221no—
904#529C2×D6111yescharacteristic
905#520—611no—
906#520—611no—
907C4×#41C2×D6111yescharacteristic
908#501—611no—
909#501—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490—611no—
918#486—611no—
919#486—611no—
920#485C2×D6111yescharacteristic
921#484—611no—
922#483—611no—
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482C2×D6111yescharacteristic
932#481—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#480—611no—
937#480—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#479C2×D6111yescharacteristic
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478C2×D6111yescharacteristic
954#477—611no—
955#477—611no—
956#477—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#475—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#469—611no—
969#469—611no—
970#468—611no—
971#468—611no—
972#466—611no—
973#466—611no—
974#466—611no—
975#466—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#464C2×D6111yescharacteristic
981#463—611no—
982#463—611no—
983#463C2×D6111yescharacteristic
984#460—611no—
985#460—611no—
986#460—611no—
987#459—611no—
988#459—611no—
989#459—611no—
990#452—611no—
991#452—611no—
992#452C2×D6111yescharacteristic
993#449—611no—
994#449—611no—
995#449C2×D6111yescharacteristic
996#446—611no—
997#446—611no—
998#442—611no—
999#442C2×D6111yescharacteristic
1000#441—611no—
1001#441C2×D6111yescharacteristic
1002#440—611no—
1003#440—611no—
1004#440C2×D6111yescharacteristic
1005#440C2×D6111yescharacteristic
1006C4×Q16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010#435—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014C8×D4—611no—
1015C8×D4—611no—
1016#433—611no—
1017#433—611no—
1018#432C2×D6111yescharacteristic
1019#428—611no—
1020#428—611no—
1021#427—611no—
1022#427—611no—
1023C2×#107—611no—
1024C2×#106—611no—
1025#424—611no—
1026#424—611no—
1027C2×C4⋊C8—611no—
1028#417—611no—
1029#417—611no—
1030#416—611no—
1031#416—611no—
1032#416—611no—
1033#416—611no—
1034C61#6216211yescharacteristic, complemented, Sylow
1035C2×#41—611no—
1036C2×#41—611no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C2×#41C22×D6111yescharacteristic
1041C2×Q16C22×D6111yescharacteristic
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16C22×D6111yescharacteristic
1045C2×SD16C22×D6111yescharacteristic
1046C2×D8—611no—
1047C2×D8—611no—
1048C2×D8C22×D6111yescharacteristic
1049C2×M16—611no—
1050C2×M16—611no—
1051C22×C8—611no—
1052C22×C8—611no—
1053C22×C8—611no—
1054C22×C8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064#127—611no—
1065#127—611no—
1066#127—611no—
1067#127—1221no—
1068#127—1221no—
1069#127—1221no—
1070#126—21no—
1071#126—611no—
1072#126—611no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125C22×D6111yescharacteristic
1099#124—611no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—611no—
1109#123—611no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8C22×D6111yescharacteristic
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121C22×D6111yescharacteristic
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8C22×D6111yescharacteristic
1180C4×Q8C22×D6111yescharacteristic
1181C4×Q8C22×D6111yescharacteristic
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4C22×D6111yescharacteristic
1207C4×D4C22×D6111yescharacteristic
1208C4×D4C22×D6111yescharacteristic
1209#117—21no—
1210#117—21no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—611no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117C22×D6111yescharacteristic
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C42—21no—
1231C2×C42C22×D6111yescharacteristic
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103C22×D6111yescharacteristic
1273#103C22×D6111yescharacteristic
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8C22×D6111yescharacteristic
1303C22⋊C8C22×D6111yescharacteristic
1304#97—611no—
1305#97—611no—
1306#97C22×D6111yescharacteristic
1307#97C22×D6111yescharacteristic
1308C4×C8—611no—
1309C4×C8—611no—
1310#41—22no—
1311#41—41no—
1312#41—1222no—
1313#41—1222no—
1314#41—4882no—
1315#41—4882no—
1316#41—4882no—
1317#41—2441no—
1318#41—2441no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8C23×D6111yescharacteristic
1326C2×Q8C23×D6111yescharacteristic
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4C23×D6111yescharacteristic
1351C2×D4C23×D6111yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4D4×D6111yescharacteristic
1371C22×C4D4×D6111yescharacteristic
1372C22×C4C23×D6111yescharacteristic
1373Q16—22no—
1374SD16—22no—
1375SD16—41no—
1376SD16—2441no—
1377SD16—2441no—
1378D8—41no—
1379D8—2441no—
1380D8—2441no—
1381M16—2441no—
1382M16—2441no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—611no—
1491C42—611no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42D4×D6111yescharacteristic
1501C42D4×D6111yescharacteristic
1502C42C23×D6111yescharacteristic
1503C42C23×D6111yescharacteristic
1504C23—21no—
1505C23—21no—
1506C23—611no—
1507C23—611no—
1508C23—1221no—
1509C23—1221no—
1510C23C2×D4×D6111yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—4881no—
1515Q8—4881no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—2441no—
1519Q8—2442no—
1520Q8#1451982412yes—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—42no—
1526D4—81no—
1527D4—1221no—
1528D4—1221no—
1529D4—1221no—
1530D4—1221no—
1531D4—4881no—
1532D4—4881no—
1533D4—4881no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—2441no—
1545D4—2442no—
1546D4—2442no—
1547D4—2442no—
1548D4—2441no—
1549D4—2441no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—42no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4C2×D4×D6111yescharacteristic
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C24×D6111yescharacteristic
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—1221no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—1221no—
1616C22—1221no—
1617C22—1221no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22C22×D4×D6111yescharacteristic
1628C4—21no—
1629C4—22no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4C2×#1451982411yescharacteristic
1652C4#1684059811yescharacteristic
1653C2—41no—
1654C2—81no—
1655C2—81no—
1656C2—4881no—
1657C2—4881no—
1658C2—2441no—
1659C2—2441no—
1660C2#2145949111yescharacteristic
1661C2#2146059211yescharacteristic
1662C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3111C2
socleC22×C61C23×D4
hypercenter#3111D61
hypocenterC61#62162
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #21460456C2semidirect
2. #21459825C2semidirect
3. #21458787C2semidirect
4. #21458765C2semidirect
5. #21458549C2semidirect
6. #21458527C2semidirect
7. #21458362C2semidirect
8. #21458317C2semidirect
9. #21458294C2semidirect
10. #21458264C2semidirect
11. #21458214C2semidirect
12. #21458201C2semidirect
13. #21457950C2semidirect
14. #21457949C2semidirect
15. #21457830C2semidirect
16. #21457829C2semidirect
17. #21457762C2semidirect
18. #21457751C2semidirect
19. #21457235C2semidirect
20. #21457227C2semidirect
21. #21457145C2semidirect
22. #21457077C2semidirect
23. #21457069C2semidirect
24. #21457019C2semidirect
25. #21456095C2semidirect
26. #21456080C2semidirect
27. #21455684C2semidirect
28. #21455673C2semidirect
29. #21455607C2semidirect
30. #21454960C2semidirect
31. C61×#3111C2semidirect
848. #3111D61semidirect
1034. C61#62162semidirect

Maximal subgroups

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

subgroupindex
#214604562
#214598252
#214587872
#214587652
#214585492
#214585272
#214583622
#214583172
#214582942
#214582642
#214582142
#214582012
#214579502
#214579492
#214578302
#214578292
#214577622
#214577512
#214572352
#214572272
#214571452
#214570772
#214570692
#214570192
#214560952
#214560802
#214556842
#214556732
#214556072
#214549602
C61×#31112
#6216261