Finite Group Databasebeta

← #30576082

Subgroups — #30576082

Order 15616.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459791C211yesmaximal, characteristic, complemented
2#21459445C211yesmaximal, characteristic, complemented
3#21458754C211yesmaximal, characteristic, complemented
4#21458732C211yesmaximal, characteristic, complemented
5#21458551C211yesmaximal, characteristic, complemented
6#21458529C211yesmaximal, characteristic, complemented
7#21458441C211yesmaximal, characteristic, complemented
8#21458410C211yesmaximal, characteristic, complemented
9#21458335C211yesmaximal, characteristic, complemented
10#21458331C211yesmaximal, characteristic, complemented
11#21458320C211yesmaximal, characteristic, complemented
12#21458316C211yesmaximal, characteristic, complemented
13#21458153C211yesmaximal, characteristic, complemented
14#21458142C211yesmaximal, characteristic, complemented
15#21457946C211yesmaximal, characteristic, complemented
16#21457942C211yesmaximal, characteristic, complemented
17#21457826C211yesmaximal, characteristic, complemented
18#21457822C211yesmaximal, characteristic, complemented
19#21457182C211yesmaximal, characteristic, complemented
20#21457180C211yesmaximal, characteristic, complemented
21#21457144C211yesmaximal, characteristic, complemented
22#21457009C211yesmaximal, characteristic, complemented
23#21457007C211yesmaximal, characteristic, complemented
24#21456954C211yesmaximal, characteristic, complemented
25#21455935C211yesmaximal, characteristic, complemented
26#21455928C211yesmaximal, characteristic, complemented
27#21455844C211yesmaximal, characteristic, complemented
28#21455638C211yesmaximal, characteristic, complemented
29#21455606C211yesmaximal, characteristic, complemented
30#21454933C211yesmaximal, characteristic, complemented
31C61×#3080C211yesmaximal, characteristic, complemented
32Q8×Dic122C2211yescharacteristic
33#16840489C2211yescharacteristic
34#16840477—21no—
35#16840477C2211yescharacteristic
36#16840475—21no—
37#16840475—21no—
38#16840475C2211yescharacteristic
39#16840475C2211yescharacteristic
40#16840468C2211yescharacteristic
41#16840467C2211yescharacteristic
42#16840465C2211yescharacteristic
43#16840460C2211yescharacteristic
44#16840450C2211yescharacteristic
45#16840447—21no—
46#16840447C2211yescharacteristic
47#16840444—21no—
48#16840444—21no—
49#16840434C2211yescharacteristic
50#16840433—21no—
51#16840433C2211yescharacteristic
52#16840431C2211yescharacteristic
53#16840431C2211yescharacteristic
54#16840413—21no—
55#16840413C2211yescharacteristic
56#16840371—21no—
57#16840360—21no—
58#16840359—21no—
59#16840318C2211yescharacteristic
60#16840312—21no—
61#16840312C2211yescharacteristic
62#16840309—21no—
63#16840309—21no—
64#16840309C2211yescharacteristic
65#16840309C2211yescharacteristic
66#16840297C2211yescharacteristic
67#16840297C2211yescharacteristic
68#16840296C2211yescharacteristic
69#125×D61C2211yescharacteristic
70#16840243—21no—
71C4×#11758226C2211yescharacteristic
72C4×#11758226C2211yescharacteristic
73C4×#11758222—21no—
74C4×#11758222C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840172C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840128C2211yescharacteristic
82#16840128C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840125C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840103C2211yescharacteristic
90#16840089C2211yescharacteristic
91#16840089C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840084C2211yescharacteristic
97#16840082C2211yescharacteristic
98#16840080C2211yescharacteristic
99#16840080C2211yescharacteristic
100#16840079C2211yescharacteristic
101#16840077C2211yescharacteristic
102#16840075C2211yescharacteristic
103#16840075C2211yescharacteristic
104#16840074C2211yescharacteristic
105#16840071C2211yescharacteristic
106#16840069C2211yescharacteristic
107#16840067C2211yescharacteristic
108#16840065C2211yescharacteristic
109#16840063C2211yescharacteristic
110#16840063C2211yescharacteristic
111#16840062C2211yescharacteristic
112#16840061C2211yescharacteristic
113#16840059C2211yescharacteristic
114#16840059C2211yescharacteristic
115#16840059C2211yescharacteristic
116#16840059C2211yescharacteristic
117#16840056C2211yescharacteristic
118#16840055C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840048C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840043C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840016C2211yescharacteristic
128#16840015C2211yescharacteristic
129#16840015C2211yescharacteristic
130#16840014C2211yescharacteristic
131#16840009C2211yescharacteristic
132#16840008C2211yescharacteristic
133#16840008C2211yescharacteristic
134#16840007C2211yescharacteristic
135#16839999C2211yescharacteristic
136#16839997C2211yescharacteristic
137#16839992C2211yescharacteristic
138#16839990C2211yescharacteristic
139#16839984C2211yescharacteristic
140#16839978C2211yescharacteristic
141#16839978C2211yescharacteristic
142#16839977C2211yescharacteristic
143#16839963C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839958C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839956C2211yescharacteristic
149#16839927C2211yescharacteristic
150#16839927C2211yescharacteristic
151#16839924C2211yescharacteristic
152#16839910C2211yescharacteristic
153#16839910C2211yescharacteristic
154#16839907C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839866C2211yescharacteristic
161#16839865C2211yescharacteristic
162#16839862C2211yescharacteristic
163#16839861C2211yescharacteristic
164#16839860C2211yescharacteristic
165#16839854C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839847C2211yescharacteristic
168#16839844C2211yescharacteristic
169#16839838C2211yescharacteristic
170#16839838C2211yescharacteristic
171#16839832C2211yescharacteristic
172#16839832C2211yescharacteristic
173#16839831C2211yescharacteristic
174#16839831C2211yescharacteristic
175#16839819C2211yescharacteristic
176#16839818C2211yescharacteristic
177#16839814C2211yescharacteristic
178#16839803C2211yescharacteristic
179#16839801C2211yescharacteristic
180#16839799C2211yescharacteristic
181#16839797C2211yescharacteristic
182#16839784C2211yescharacteristic
183C4⋊C8×D61C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C2×#125×C61C2211yescharacteristic
189C4×#41×C61C2211yescharacteristic
190C61×#479C2211yescharacteristic
191C61×#479C2211yescharacteristic
192C61×#479C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#478C2211yescharacteristic
198C61×#428C2211yescharacteristic
199C61×#428C2211yescharacteristic
200C61×#423C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C61×#417C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222—21no—
210C2×#11758222D411yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519777—21no—
224#14519777C2311yescharacteristic
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519774—21no—
233#14519774C2311yescharacteristic
234#14519773—21no—
235#14519773—21no—
236#14519773C2311yescharacteristic
237#14519773C2311yescharacteristic
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519771—21no—
245#14519769C2311yescharacteristic
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519765—21no—
256#14519765—21no—
257#14519765—21no—
258#14519765C2311yescharacteristic
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519760—21no—
272#14519760—21no—
273#14519760—21no—
274#14519757—21no—
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756C2311yescharacteristic
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519752—21no—
286#14519752—21no—
287#14519752—21no—
288#14519752C2311yescharacteristic
289#14519752C2311yescharacteristic
290#14519752C2311yescharacteristic
291#14519752C2311yescharacteristic
292#14519751—21no—
293#14519751—21no—
294#14519751—21no—
295#14519751—21no—
296#14519751—21no—
297#14519751—21no—
298#14519751C2311yescharacteristic
299#14519751C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519750—21no—
305#14519750—21no—
306#14519750—21no—
307#14519748—21no—
308#14519748—21no—
309#14519748C2311yescharacteristic
310#14519748C2311yescharacteristic
311Q8×Dic61C2311yescharacteristic
312Q8×Dic61C2311yescharacteristic
313C4×Dic122—21no—
314C4×Dic122D411yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322C4×D244—21no—
323C4×D244—21no—
324C4×D244—21no—
325C4×D244—21no—
326C4×D244D411yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331#14519739—21no—
332#14519739—21no—
333#14519739—21no—
334#14519739—21no—
335#14519739—21no—
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61D411yescharacteristic
348C4×C22⋊D61D411yescharacteristic
349C4×C22⋊D61C2311yescharacteristic
350C4×C22⋊D61C2311yescharacteristic
351#14519736—21no—
352#14519736—21no—
353#14519736D411yescharacteristic
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519734—21no—
364#14519734—21no—
365#14519734—21no—
366#14519734D411yescharacteristic
367#14519734D411yescharacteristic
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519697C2311yescharacteristic
414#14519697C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C2×M16×C61C2311yescharacteristic
438#125×C61—21no—
439#125×C61—21no—
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444C4×Q8×C61C2311yescharacteristic
445C4×Q8×C61C2311yescharacteristic
446C4×D4×C61—21no—
447C4×D4×C61—21no—
448C4×D4×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450#117×C61—21no—
451#117×C61C2311yescharacteristic
452C2×C4⋊C4×C61—21no—
453C2×C4⋊C4×C61—21no—
454C2×C4⋊C4×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456C2×C42×C61—21no—
457C2×C42×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61C2×D411yescharacteristic
489C22×C4×C61C2×D411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
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⋊D61C2×D411yescharacteristic
501C2×C22⋊D61C2×D411yescharacteristic
502#11758226—22no—
503#11758226—22no—
504#11758226—41no—
505#11758226—41no—
506#11758222—42no—
507#11758222—44no—
508#11758222—44no—
509#11758222—82no—
510#11758222—82no—
511#11758222—82no—
512C2×D244—21no—
513C2×D244—21no—
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×D244C2411yescharacteristic
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×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2411yescharacteristic
548M16×C61—41no—
549M16×C61—41no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C42×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61C2×D411yescharacteristic
579C42×C61C2×D411yescharacteristic
580C42×C61C2411yescharacteristic
581C42×C61C2411yescharacteristic
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758202—22no—
588#11758201—22no—
589#11758200—41no—
590#11758199—41no—
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#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
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
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667D488—41no—
668D488—41no—
669#11758190—41no—
670#11758190—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61C22×D411yescharacteristic
681C22×D61C22×D411yescharacteristic
682Q8×C61—21no—
683Q8×C612−1+412yes—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—42no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
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—41no—
697C2×C4×C61—41no—
698C2×C4×C61—42no—
699C2×C4×C61—42no—
700C2×C4×C61—42no—
701C2×C4×C61—42no—
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—22no—
710C22⋊D61—41no—
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C22⋊D61—81no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731D244—21no—
732D244—21no—
733D244—21no—
734D244—21no—
735D244—21no—
736D244—21no—
737D244—41no—
738D244—42no—
739D244—42no—
740D244—42no—
741D244—42no—
742D244—81no—
743D244—81no—
744D244—81no—
745D244—81no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—22no—
751C4×D61—41no—
752C4×D61—41no—
753C4×D61—41no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765Dic122—22no—
766Dic122—21no—
767Dic122—21no—
768Dic122—42no—
769Dic122—81no—
770Dic122—81no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62123—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C4×C61—21no—
805C4×C61—21no—
806C4×C61—22no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61C2×2−1+411yescharacteristic
817C4×C61#58511yescharacteristic
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61#57512yes—
829#3515—611no—
830#3483—611no—
831#3387—611no—
832#3385—611no—
833#3368—611no—
834#3366—611no—
835#3357—611no—
836#3354—611no—
837#3348—611no—
838#3348—611no—
839#3347—611no—
840#3347—611no—
841#3333—611no—
842#3332—611no—
843#3317—611no—
844#3317—611no—
845#3309—611no—
846#3309—611no—
847#3251—611no—
848#3251—611no—
849#3247—611no—
850#3234—611no—
851#3234—611no—
852#3228—611no—
853#3111—611no—
854#3111—611no—
855#3102—611no—
856#3080—611no—
857#3080D6111yescharacteristic, complemented
858#3076—611no—
859#2989—611no—
860C2×C61—41no—
861C2×C61—81no—
862C2×C61#348911yescharacteristic
863C2×C61C2×#57511yescharacteristic
864C2×C61#358511yescharacteristic
865D61—41no—
866D61—41no—
867D61—81no—
868D61—81no—
869D61—81no—
870Q82—611no—
871#557—611no—
872#555—611no—
873#555—611no—
874#555—611no—
875#555—1221no—
876#555—1221no—
877#555—1221no—
878#554—611no—
879#554—611no—
880#553—611no—
881#553—611no—
882#552—611no—
883#552—611no—
884#552—1221no—
885#552—1221no—
886#552—1221no—
887#550—611no—
888#550—611no—
889#550—611no—
890#550—611no—
891#550—1221no—
892#547—611no—
893#547—1221no—
894#541—1221no—
895#539—1221no—
896#539—1221no—
897#533—611no—
898#532—611no—
899#532—611no—
900#532—611no—
901#532—1221no—
902#532—1221no—
903#532—1221no—
904#529—611no—
905#529—611no—
906#529—611no—
907C2×#125—611no—
908C2×#125C2×D6111yescharacteristic
909#520—1221no—
910C4×#41—611no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—1221no—
914C4×#41C2×D6111yescharacteristic
915#501—611no—
916#501—611no—
917#501—611no—
918#501—611no—
919#500—611no—
920#498—611no—
921#490—611no—
922#490—611no—
923#490—611no—
924#490—611no—
925#486—611no—
926#486—611no—
927#485—611no—
928#485—611no—
929#485—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482—611no—
937#481—611no—
938#481—611no—
939#481—611no—
940#481—611no—
941#480—611no—
942#480—611no—
943#480—611no—
944#480—611no—
945#479—611no—
946#479—611no—
947#479—611no—
948#479C2×D6111yescharacteristic
949#479C2×D6111yescharacteristic
950#479C2×D6111yescharacteristic
951#479C2×D6111yescharacteristic
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478C2×D6111yescharacteristic
962#478C2×D6111yescharacteristic
963#478C2×D6111yescharacteristic
964#478C2×D6111yescharacteristic
965#477—611no—
966#477—611no—
967#476—611no—
968#476—611no—
969#475—611no—
970#475—611no—
971#475—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#469—611no—
976#469—611no—
977#469—611no—
978#469—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468—611no—
983#466—611no—
984#466—611no—
985#465—611no—
986#465—611no—
987#464—611no—
988#463—611no—
989#463—611no—
990#463—611no—
991#460—611no—
992#460—611no—
993#460—611no—
994#459—611no—
995#459—611no—
996#459—611no—
997#452—611no—
998#452—611no—
999#452—611no—
1000#449—611no—
1001#449—611no—
1002#449—611no—
1003#446—611no—
1004#446—611no—
1005#442—611no—
1006#442—611no—
1007#441—611no—
1008#441—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013C4×Q16—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×D8—611no—
1017#436—611no—
1018#436—611no—
1019#435—611no—
1020#435—611no—
1021#435—611no—
1022#435—611no—
1023#432—611no—
1024#432—611no—
1025#431—611no—
1026#428—611no—
1027#428—611no—
1028#428C2×D6111yescharacteristic
1029#428C2×D6111yescharacteristic
1030#427—611no—
1031#427—611no—
1032#423—611no—
1033#423C2×D6111yescharacteristic
1034C2×C4⋊C8—611no—
1035#417—611no—
1036#417—611no—
1037#417C2×D6111yescharacteristic
1038#417C2×D6111yescharacteristic
1039#416—611no—
1040#416—611no—
1041C61#6212311yescharacteristic, complemented, Sylow
1042C2×#41—611no—
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C2×#41—1221no—
1050C2×#41C22×D6111yescharacteristic
1051C2×Q16—611no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8—611no—
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16C22×D6111yescharacteristic
1062C2×M16C22×D6111yescharacteristic
1063C22×C8—611no—
1064C22×C8—611no—
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074#127—611no—
1075#127—611no—
1076#127—611no—
1077#127—1221no—
1078#127—1221no—
1079#127—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#125—21no—
1088#125—21no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125C22×D6111yescharacteristic
1100#125C22×D6111yescharacteristic
1101#125C22×D6111yescharacteristic
1102#125C22×D6111yescharacteristic
1103#124—611no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#124—1221no—
1110#124—1221no—
1111#124—1221no—
1112#124—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—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
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—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×Q8C22×D6111yescharacteristic
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205#117—21no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117C22×D6111yescharacteristic
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C42—21no—
1234C2×C42—611no—
1235C2×C42—611no—
1236C2×C42—1221no—
1237C2×C42—1221no—
1238C2×C42C22×D6111yescharacteristic
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107C22×D6111yescharacteristic
1248#107C22×D6111yescharacteristic
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106C22×D6111yescharacteristic
1260#106C22×D6111yescharacteristic
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8C22×D6111yescharacteristic
1270C4⋊C8C22×D6111yescharacteristic
1271C4⋊C8C22×D6111yescharacteristic
1272C4⋊C8C22×D6111yescharacteristic
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
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#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311#97—611no—
1312#97—611no—
1313#97—611no—
1314#97—611no—
1315C4×C8—611no—
1316C4×C8—611no—
1317#41—22no—
1318#41—41no—
1319#41—1222no—
1320#41—1222no—
1321#41—4882no—
1322#41—4882no—
1323#41—4882no—
1324#41—2442no—
1325#41—2444no—
1326#41—2444no—
1327#41—2441no—
1328#41—2441no—
1329C2×Q8—611no—
1330C2×Q8—611no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8C23×D6111yescharacteristic
1337C2×D4—21no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4C23×D6111yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4D4×D6111yescharacteristic
1385C22×C4D4×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387Q16—1222no—
1388SD16—1222no—
1389SD16—2441no—
1390SD16—2441no—
1391SD16—2441no—
1392D8—2441no—
1393D8—2441no—
1394D8—2441no—
1395M16—41no—
1396M16—41no—
1397M16—2441no—
1398M16—2441no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—2441no—
1404C2×C8—2441no—
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
1408C2×C8C23×D6111yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
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⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C4⋊C4C23×D6111yescharacteristic
1455C4⋊C4C23×D6111yescharacteristic
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
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—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42D4×D6111yescharacteristic
1511C42D4×D6111yescharacteristic
1512C42C23×D6111yescharacteristic
1513C42C23×D6111yescharacteristic
1514C23—21no—
1515C23—611no—
1516C23—611no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23C2×D4×D6111yescharacteristic
1521Q8—21no—
1522Q8—1222no—
1523Q8—1221no—
1524Q8—1221no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—4881no—
1529Q8—2442no—
1530Q8#1451982512yes—
1531D4—21no—
1532D4—21no—
1533D4—42no—
1534D4—1222no—
1535D4—1221no—
1536D4—1221no—
1537D4—1221no—
1538D4—1221no—
1539D4—1221no—
1540D4—1221no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—4881no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—2441no—
1552D4—2442no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2441no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—42no—
1574C2×C4—42no—
1575C2×C4—81no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—2441no—
1596C2×C4—2441no—
1597C2×C4—2441no—
1598C2×C4—2442no—
1599C2×C4—2442no—
1600C2×C4—2442no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4C2×D4×D6111yescharacteristic
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C24×D6111yescharacteristic
1612C8—21no—
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—1221no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—1221no—
1627C22—1221no—
1628C22—1221no—
1629C22—1221no—
1630C22—1221no—
1631C22—1221no—
1632C22—2441no—
1633C22—2441no—
1634C22—2441no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22C22×D4×D6111yescharacteristic
1642C4—21no—
1643C4—22no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—612no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4C2×#1451982511yescharacteristic
1666C4#1684059811yescharacteristic
1667C2—41no—
1668C2—81no—
1669C2—4881no—
1670C2—4881no—
1671C2—4881no—
1672C2—2441no—
1673C2—2441no—
1674C2#2145949511yescharacteristic
1675C2#575×D6111yescharacteristic
1676C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3080C2
socleC22×C61C23×D4
hypercenter#3080D61
hypocenterC61#62123
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3080

Complements

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

NH ≅ G/Ntype
1. #21459791C2semidirect
2. #21459445C2semidirect
3. #21458754C2semidirect
4. #21458732C2semidirect
5. #21458551C2semidirect
6. #21458529C2semidirect
7. #21458441C2semidirect
8. #21458410C2semidirect
9. #21458335C2semidirect
10. #21458331C2semidirect
11. #21458320C2semidirect
12. #21458316C2semidirect
13. #21458153C2semidirect
14. #21458142C2semidirect
15. #21457946C2semidirect
16. #21457942C2semidirect
17. #21457826C2semidirect
18. #21457822C2semidirect
19. #21457182C2semidirect
20. #21457180C2semidirect
21. #21457144C2semidirect
22. #21457009C2semidirect
23. #21457007C2semidirect
24. #21456954C2semidirect
25. #21455935C2semidirect
26. #21455928C2semidirect
27. #21455844C2semidirect
28. #21455638C2semidirect
29. #21455606C2semidirect
30. #21454933C2semidirect
31. C61×#3080C2semidirect
857. #3080D61semidirect
1041. C61#62123semidirect

Maximal subgroups

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

subgroupindex
#214597912
#214594452
#214587542
#214587322
#214585512
#214585292
#214584412
#214584102
#214583352
#214583312
#214583202
#214583162
#214581532
#214581422
#214579462
#214579422
#214578262
#214578222
#214571822
#214571802
#214571442
#214570092
#214570072
#214569542
#214559352
#214559282
#214558442
#214556382
#214556062
#214549332
C61×#30802
#6212361