Finite Group Databasebeta

← #30575988

Subgroups — #30575988

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459785C211yesmaximal, characteristic, complemented
2#21459423C211yesmaximal, characteristic, complemented
3#21458775C211yesmaximal, characteristic, complemented
4#21458760C211yesmaximal, characteristic, complemented
5#21458583C211yesmaximal, characteristic, complemented
6#21458568C211yesmaximal, characteristic, complemented
7#21458426C211yesmaximal, characteristic, complemented
8#21458384C211yesmaximal, characteristic, complemented
9#21458308C211yesmaximal, characteristic, complemented
10#21458302C211yesmaximal, characteristic, complemented
11#21458287C211yesmaximal, characteristic, complemented
12#21458272C211yesmaximal, characteristic, complemented
13#21458040C211yesmaximal, characteristic, complemented
14#21458025C211yesmaximal, characteristic, complemented
15#21457964C211yesmaximal, characteristic, complemented
16#21457904C211yesmaximal, characteristic, complemented
17#21457844C211yesmaximal, characteristic, complemented
18#21457784C211yesmaximal, characteristic, complemented
19#21457217C211yesmaximal, characteristic, complemented
20#21457178C211yesmaximal, characteristic, complemented
21#21457166C211yesmaximal, characteristic, complemented
22#21457058C211yesmaximal, characteristic, complemented
23#21457007C211yesmaximal, characteristic, complemented
24#21456989C211yesmaximal, characteristic, complemented
25#21455956C211yesmaximal, characteristic, complemented
26#21455925C211yesmaximal, characteristic, complemented
27#21455636C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29C2×#16840062C211yesmaximal, characteristic, complemented
30#21454932C211yesmaximal, characteristic, complemented
31C61×#3105C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33#16840488C2211yescharacteristic, complemented
34#16840471C2211yescharacteristic
35#16840471C2211yescharacteristic, complemented
36#16840470C2211yescharacteristic, complemented
37#16840467C2211yescharacteristic
38#16840464C2211yescharacteristic
39#16840462C2211yescharacteristic
40#16840462C2211yescharacteristic, complemented
41#16840461—21no—
42#16840460C2211yescharacteristic
43#16840454C2211yescharacteristic
44#16840453C2211yescharacteristic, complemented
45#16840451—21no—
46#16840449—21no—
47#16840445—21no—
48#16840441—21no—
49#16840438—21no—
50#16840412C2211yescharacteristic, complemented
51#16840410—21no—
52#16840407C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840402—21no—
55D4×C22⋊D61C2211yescharacteristic
56#16840369—21no—
57#16840354—21no—
58#16840353—21no—
59#16840318C2211yescharacteristic, complemented
60#16840309C2211yescharacteristic
61#16840296C2211yescharacteristic
62#16840294C2211yescharacteristic
63#16840292—21no—
64#16840291C2211yescharacteristic, complemented
65#16840291C2211yescharacteristic, complemented
66C2×#14519769C2211yescharacteristic, complemented
67#125×D61C2211yescharacteristic, complemented
68#16840273—21no—
69#16840271—21no—
70#16840241—21no—
71C4×#11758222C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C2×C4×C22⋊D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840164C2211yescharacteristic, complemented
80#16840164C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840120C2211yescharacteristic, complemented
84#16840120C2211yescharacteristic, complemented
85#16840117C2211yescharacteristic, complemented
86#16840117C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840098C2211yescharacteristic, complemented
91#16840093C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840085C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840084C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic, complemented
97#16840081C2211yescharacteristic
98#16840079C2211yescharacteristic, complemented
99#16840077C2211yescharacteristic, complemented
100#16840076C2211yescharacteristic
101#16840074C2211yescharacteristic, complemented
102#16840074C2211yescharacteristic, complemented
103#16840072C2211yescharacteristic, complemented
104#16840070C2211yescharacteristic, complemented
105#16840070C2211yescharacteristic, complemented
106#16840069C2211yescharacteristic, complemented
107#16840068C2211yescharacteristic, complemented
108#16840067C2211yescharacteristic, complemented
109#16840066C2211yescharacteristic, complemented
110#16840064C2211yescharacteristic
111#16840063C2211yescharacteristic, complemented
112#16840063C2211yescharacteristic, complemented
113#16840062C2211yescharacteristic
114#16840062C2211yescharacteristic
115#16840062C2211yescharacteristic
116#16840062C2211yescharacteristic
117#16840062C2211yescharacteristic, complemented
118#16840062C2211yescharacteristic, complemented
119#16840062C2211yescharacteristic, complemented
120#16840062C2211yescharacteristic, complemented
121#16840062C2211yescharacteristic, complemented
122#16840060C2211yescharacteristic
123#16840060C2211yescharacteristic, complemented
124#16840059C2211yescharacteristic, complemented
125#16840051C2211yescharacteristic, complemented
126#16840050C2211yescharacteristic
127#16840045C2211yescharacteristic, complemented
128#16840041C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840019C2211yescharacteristic, complemented
132#16840014C2211yescharacteristic, complemented
133#16840012C2211yescharacteristic
134#16840012C2211yescharacteristic, complemented
135#16840011C2211yescharacteristic, complemented
136#16840007C2211yescharacteristic, complemented
137#16840005C2211yescharacteristic
138#16840005C2211yescharacteristic, complemented
139#16840001C2211yescharacteristic, complemented
140#16839996C2211yescharacteristic
141#16839993C2211yescharacteristic
142#16839989C2211yescharacteristic, complemented
143#16839984C2211yescharacteristic, complemented
144#16839982C2211yescharacteristic, complemented
145#16839981C2211yescharacteristic, complemented
146#16839977C2211yescharacteristic, complemented
147#16839975C2211yescharacteristic, complemented
148#16839974C2211yescharacteristic, complemented
149#16839960C2211yescharacteristic
150#16839955C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839911C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839894C2211yescharacteristic
155#16839892C2211yescharacteristic, complemented
156#16839892C2211yescharacteristic, complemented
157#16839874C2211yescharacteristic
158#16839874C2211yescharacteristic
159#16839871C2211yescharacteristic, complemented
160#16839866C2211yescharacteristic, complemented
161#16839865C2211yescharacteristic, complemented
162#16839863C2211yescharacteristic
163#16839863C2211yescharacteristic
164#16839859C2211yescharacteristic, complemented
165#16839841C2211yescharacteristic, complemented
166#16839841C2211yescharacteristic, complemented
167#16839830C2211yescharacteristic
168#16839830C2211yescharacteristic
169#16839830C2211yescharacteristic, complemented
170#16839830C2211yescharacteristic, complemented
171#16839818C2211yescharacteristic, complemented
172#16839818C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic, complemented
174#16839803C2211yescharacteristic, complemented
175#16839801C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177C2×#14519710C2211yescharacteristic, complemented
178C2×#14519708C2211yescharacteristic, complemented
179#16839784C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×C4⋊#92418C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186C2×#14519698C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#529C2211yescharacteristic, complemented
189C2×C4×D4×C61C2211yescharacteristic
190C61×#484C2211yescharacteristic, complemented
191C61×#481C2211yescharacteristic, complemented
192C61×#478C2211yescharacteristic
193C61×#478C2211yescharacteristic, complemented
194C61×#463C2211yescharacteristic
195C61×#463C2211yescharacteristic, complemented
196C61×#450C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C4×SD16×C61C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic, complemented
200C4×D8×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#431C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222D411yescharacteristic
205C2×#11758224—21no—
206C2×#11758224C2311yescharacteristic
207C22×C22⋊D61—21no—
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C2×#11758202C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C22×#92418C2311yescharacteristic
220#14519776—21no—
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519773C2311yescharacteristic
225#14519772—21no—
226#14519772—21no—
227#14519771—21no—
228#14519771—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519769—21no—
236#14519769—21no—
237#14519769—21no—
238#14519769C2311yescharacteristic
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519768—21no—
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519765C2311yescharacteristic
254#14519764C2311yescharacteristic
255#14519763—21no—
256#14519763—21no—
257#14519762—21no—
258#14519762—21no—
259#14519761—21no—
260#14519761—21no—
261#14519761—21no—
262#14519760—21no—
263#14519760—21no—
264#14519760—21no—
265#14519760—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519758—21no—
272#14519758—21no—
273#14519757—21no—
274#14519757C2311yescharacteristic
275#14519756—21no—
276#14519756—21no—
277#14519756—21no—
278#14519756C2311yescharacteristic
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519753C2311yescharacteristic
289#14519753C2311yescharacteristic
290#14519752C2311yescharacteristic
291#14519751—21no—
292#14519751—21no—
293#14519751C2311yescharacteristic
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519749—21no—
298#14519749—21no—
299#14519749—21no—
300#14519748C2311yescharacteristic
301#14519748C2311yescharacteristic
302#14519748C2311yescharacteristic
303#14519748C2311yescharacteristic
304#14519747—21no—
305#14519746—21no—
306#14519746—21no—
307#14519745—21no—
308Q8×Dic61C2311yescharacteristic
309Q8×Dic61C2311yescharacteristic
310C4×Dic122—21no—
311C4×Dic122D411yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742—21no—
316#14519742C2311yescharacteristic
317C4×D244D411yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320D4×Dic61—21no—
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325#14519739C2311yescharacteristic
326C4×C22⋊D61—21no—
327C4×C22⋊D61—21no—
328C4×C22⋊D61—21no—
329C4×C22⋊D61—21no—
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61D411yescharacteristic
337C4×C22⋊D61D411yescharacteristic
338C4×C22⋊D61C2311yescharacteristic
339C4×C22⋊D61C2311yescharacteristic
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519736—21no—
346#14519736D411yescharacteristic
347#14519735C2311yescharacteristic
348#14519735C2311yescharacteristic
349#14519735C2311yescharacteristic
350#14519734—21no—
351#14519734—21no—
352#14519734D411yescharacteristic
353#14519734D411yescharacteristic
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358C2×C4⋊Dic61C2311yescharacteristic
359C2×C4⋊Dic61C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C2×C22⋊Dic61—21no—
370C2×#11758198—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61—21no—
373C42×D61C2311yescharacteristic
374C42×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#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434#14519687C2311yescharacteristic
435C22×D4×C61C2311yescharacteristic
436C23×C4×C61—21no—
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#124×C61C2311yescharacteristic
444#123×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446#121×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×D4×C61—21no—
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61—21no—
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C22⋊C4×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#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—22no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—41no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—82no—
495C22×C4×C61C2×D411yescharacteristic
496C22×C4×C61C2×D411yescharacteristic
497C22×C4×C61C2411yescharacteristic
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—44no—
508C2×C22⋊D61C2×D411yescharacteristic
509C2×C22⋊D61C2×D411yescharacteristic
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517#11758224—22no—
518#11758224—41no—
519#11758224—44no—
520D4×D61—22no—
521D4×D61—41no—
522#11758222—42no—
523#11758222—82no—
524C2×D244—21no—
525C2×D244C2×D411yescharacteristic
526C2×D244C2411yescharacteristic
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—82no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—22no—
545SD16×C61—41no—
546D8×C61—22no—
547D8×C61—41no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×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⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61C2×D411yescharacteristic
587C22⋊Dic61C2×D411yescharacteristic
588#11758202—41no—
589#11758201—41no—
590#11758200—41no—
591#11758199—41no—
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#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
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#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
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×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C2×#92418—41no—
666C2×#92418—41no—
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671#11758189—41no—
672#11758189—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—42no—
679C23×C61—42no—
680C23×C61—81no—
681C23×C61C22×D411yescharacteristic
682C22×D61—21no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—42no—
696D4×C61—42no—
697D4×C612−1+412yes—
698C2×C4×C61—22no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—41no—
707C2×C4×C61—42no—
708C2×C4×C61—42no—
709C2×C4×C61—81no—
710C2×C4×C61—81no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C2511yescharacteristic
719C22⋊D61—22no—
720C22⋊D61—22no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—81no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—42no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—81no—
742C2×Dic61—81no—
743C2×Dic61—81no—
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750D244—21no—
751D244—21no—
752D244—41no—
753D244—81no—
754C4×D61—21no—
755C4×D61—21no—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—41no—
759C4×D61—41no—
760C4×D61—41no—
761C4×D61—41no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767Dic122—21no—
768Dic122—21no—
769Dic122—41no—
770Dic122—42no—
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#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—22no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—84no—
794C22×C61#57512yes—
795C22×C61C23×D411yescharacteristic
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
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—21no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251—611no—
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105D6111yescharacteristic, complemented
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—22no—
863C2×C61—42no—
864C2×C61—81no—
865C2×C61—81no—
866C2×C61#348911yescharacteristic
867C2×C61C2×#57511yescharacteristic
868C2×C61#358511yescharacteristic
869D61—41no—
870D61—41no—
871D61—81no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—1221no—
906#529C2×D6111yescharacteristic, complemented
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—1221no—
916C2×C4×D4C2×D6111yescharacteristic
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484C2×D6111yescharacteristic, complemented
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481C2×D6111yescharacteristic, complemented
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478C2×D6111yescharacteristic
970#478C2×D6111yescharacteristic, complemented
971#476—611no—
972#476—611no—
973#475—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463C2×D6111yescharacteristic
996#463C2×D6111yescharacteristic, complemented
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450C2×D6111yescharacteristic
1002#449—611no—
1003#447—611no—
1004#447C2×D6111yescharacteristic
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16C2×D6111yescharacteristic
1016C4×SD16C2×D6111yescharacteristic, complemented
1017C4×D8C2×D6111yescharacteristic
1018C4×D8C2×D6111yescharacteristic, complemented
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431C2×D6111yescharacteristic, complemented
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—1221no—
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—21no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16C22×D6111yescharacteristic
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
1060C2×D8C22×D6111yescharacteristic
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071#127—611no—
1072#126—21no—
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—611no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125C22×D6111yescharacteristic
1102#124—611no—
1103#124—611no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—1221no—
1109#123—1221no—
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—611no—
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⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
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#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
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—1221no—
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×D4C22×D6111yescharacteristic
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—1221no—
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
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
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97—611no—
1317C4×C8C22×D6111yescharacteristic
1318C4×C8C22×D6111yescharacteristic
1319C24—21no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2442no—
1324#41—2441no—
1325#41—2444no—
1326C2×Q8—611no—
1327C2×Q8—611no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—22no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—41no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1222no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—2441no—
1352C2×D4—2444no—
1353C2×D4C23×D6111yescharacteristic
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—82no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
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—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—22no—
1387SD16—41no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—41no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
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⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
1472C22⋊C4—611no—
1473C22⋊C4—611no—
1474C22⋊C4—611no—
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—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C42—21no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—42no—
1520C23—42no—
1521C23—81no—
1522C23—611no—
1523C23—611no—
1524C23—1221no—
1525C23—4881no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—4881no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—42no—
1543D4—42no—
1544D4—1222no—
1545D4—1222no—
1546D4—1221no—
1547D4—1221no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—2441no—
1553D4—2442no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4#1451982412yes—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—41no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—1221no—
1582C2×C4—1221no—
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—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—2441no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—84no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—1221no—
1638C22—1221no—
1639C22—1221no—
1640C22—4884no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22#1684055912yes—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982411yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—22no—
1672C2—42no—
1673C2—81no—
1674C2—81no—
1675C2—4881no—
1676C2—2441no—
1677C2—2441no—
1678C2#2145949111yescharacteristic
1679C2C2×#1684055911yescharacteristic
1680C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3105C2
socleC22×C61C23×D4
hypercenter#3105D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #21459785C2semidirect
2. #21459423C2semidirect
3. #21458775C2semidirect
4. #21458760C2semidirect
5. #21458583C2semidirect
6. #21458568C2semidirect
7. #21458426C2semidirect
8. #21458384C2semidirect
9. #21458308C2semidirect
10. #21458302C2semidirect
11. #21458287C2semidirect
12. #21458272C2semidirect
13. #21458040C2semidirect
14. #21458025C2semidirect
15. #21457964C2semidirect
16. #21457904C2semidirect
17. #21457844C2semidirect
18. #21457784C2semidirect
19. #21457217C2semidirect
20. #21457178C2semidirect
21. #21457166C2semidirect
22. #21457058C2semidirect
23. #21457007C2semidirect
24. #21456989C2semidirect
25. #21455956C2semidirect
26. #21455925C2semidirect
27. #21455636C2semidirect
28. #21455614C2semidirect
29. C2×#16840062C2semidirect
30. #21454932C2semidirect
31. C61×#3105C2semidirect
33. #16840488C22semidirect
35. #16840471C22semidirect
36. #16840470C22semidirect
40. #16840462C22semidirect
44. #16840453C22semidirect
50. #16840412C22semidirect
59. #16840318C22semidirect
64. #16840291C22semidirect
65. #16840291C22semidirect
66. C2×#14519769C22semidirect
67. #125×D61C22semidirect
75. #16840170C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840169C22semidirect
79. #16840164C22semidirect
80. #16840164C22semidirect
83. #16840120C22semidirect
84. #16840120C22semidirect
85. #16840117C22semidirect
86. #16840117C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840101C22semidirect
90. #16840098C22semidirect
91. #16840093C22semidirect
92. #16840091C22semidirect
95. #16840084C22semidirect
96. #16840082C22semidirect
98. #16840079C22semidirect
99. #16840077C22semidirect
101. #16840074C22semidirect
102. #16840074C22semidirect
103. #16840072C22semidirect
104. #16840070C22semidirect
105. #16840070C22semidirect
106. #16840069C22semidirect
107. #16840068C22semidirect
108. #16840067C22semidirect
109. #16840066C22semidirect
111. #16840063C22semidirect
112. #16840063C22semidirect
117. #16840062C22semidirect
118. #16840062C22semidirect
119. #16840062C22semidirect
120. #16840062C22semidirect
121. #16840062C22semidirect
123. #16840060C22semidirect
124. #16840059C22semidirect
125. #16840051C22semidirect
127. #16840045C22semidirect
128. #16840041C22semidirect
130. #16840040C22semidirect
131. #16840019C22semidirect
132. #16840014C22semidirect
134. #16840012C22semidirect
135. #16840011C22semidirect
136. #16840007C22semidirect
138. #16840005C22semidirect
139. #16840001C22semidirect
142. #16839989C22semidirect
143. #16839984C22semidirect
144. #16839982C22semidirect
145. #16839981C22semidirect
146. #16839977C22semidirect
147. #16839975C22semidirect
148. #16839974C22semidirect
155. #16839892C22semidirect
156. #16839892C22semidirect
159. #16839871C22semidirect
160. #16839866C22semidirect
161. #16839865C22semidirect
164. #16839859C22semidirect
165. #16839841C22semidirect
166. #16839841C22semidirect
169. #16839830C22semidirect
170. #16839830C22semidirect
171. #16839818C22semidirect
172. #16839818C22semidirect
173. #16839803C22semidirect
174. #16839803C22semidirect
175. #16839801C22semidirect
176. #16839801C22semidirect
177. C2×#14519710C22semidirect
178. C2×#14519708C22semidirect
179. #16839784C22semidirect
180. #16839784C22semidirect
181. C2×C4⋊#92418C22semidirect
188. C61×#529C22semidirect
190. C61×#484C22semidirect
191. C61×#481C22semidirect
193. C61×#478C22semidirect
195. C61×#463C22semidirect
199. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
202. C61×#431C22semidirect
857. #3105D61semidirect
906. #529C2×D61semidirect
933. #484C2×D61semidirect
942. #481C2×D61semidirect
970. #478C2×D61semidirect
996. #463C2×D61semidirect
1016. C4×SD16C2×D61semidirect
1018. C4×D8C2×D61semidirect
1027. #431C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

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

subgroupindex
#214597852
#214594232
#214587752
#214587602
#214585832
#214585682
#214584262
#214583842
#214583082
#214583022
#214582872
#214582722
#214580402
#214580252
#214579642
#214579042
#214578442
#214577842
#214572172
#214571782
#214571662
#214570582
#214570072
#214569892
#214559562
#214559252
#214556362
#214556142
C2×#168400622
#214549322
C61×#31052
#6211961