Finite Group Databasebeta

← #30564651

Subgroups — #30564651

Order 15616.

1820 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459855C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458802C211yesmaximal, characteristic, complemented
4#21458674C211yesmaximal, characteristic, complemented
5#21458556C211yesmaximal, characteristic, complemented
6#21458538C211yesmaximal, characteristic, complemented
7#21458432C211yesmaximal, characteristic, complemented
8#21458428C211yesmaximal, characteristic, complemented
9#21458412C211yesmaximal, characteristic, complemented
10#21457932C211yesmaximal, characteristic, complemented
11#21457925C211yesmaximal, characteristic, complemented
12#21457856C211yesmaximal, characteristic, complemented
13#21457743C211yesmaximal, characteristic, complemented
14#21457679C211yesmaximal, characteristic, complemented
15#21457463C211yesmaximal, characteristic, complemented
16#21457454C211yesmaximal, characteristic, complemented
17#21457446C211yesmaximal, characteristic, complemented
18#21456559C211yesmaximal, characteristic, complemented
19#21456435C211yesmaximal, characteristic, complemented
20#21456429C211yesmaximal, characteristic, complemented
21#21456101C211yesmaximal, characteristic, complemented
22#21456089C211yesmaximal, characteristic, complemented
23#21456045C211yesmaximal, characteristic, complemented
24#21456043C211yesmaximal, characteristic, complemented
25#21455885C211yesmaximal, characteristic, complemented
26#21455822C211yesmaximal, characteristic, complemented
27#21454816C211yesmaximal, characteristic, complemented
28#21454665C211yesmaximal, characteristic, complemented
29#21454659C211yesmaximal, characteristic, complemented
30#21454623C211yesmaximal, characteristic, complemented
31C61×#3311C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519803C2211yescharacteristic
35#16840492C2211yescharacteristic, complemented
36#16840484—21no—
37#16840484C2211yescharacteristic, complemented
38#16840481C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840479—21no—
41#16840479—21no—
42#16840475C2211yescharacteristic, complemented
43#16840474—21no—
44#16840470C2211yescharacteristic
45#16840469C2211yescharacteristic
46#16840449—21no—
47#16840443—21no—
48#16840438—21no—
49D4×Dic122C2211yescharacteristic
50#16840425C2211yescharacteristic, complemented
51#16840422C2211yescharacteristic
52#16840421C2211yescharacteristic
53#16840418—21no—
54#16840412C2211yescharacteristic
55#16840411C2211yescharacteristic
56#16840406C2211yescharacteristic
57#16840386C2211yescharacteristic, complemented
58#16840385C2211yescharacteristic, complemented
59#16840381C2211yescharacteristic
60#16840379C2211yescharacteristic
61#16840378—21no—
62#16840376—21no—
63#16840357—21no—
64#16840356—21no—
65#16840316—21no—
66#16840314C2211yescharacteristic
67#16840314C2211yescharacteristic
68#16840295—21no—
69#16840292C2211yescharacteristic
70#16840268—21no—
71C2×#14519754—21no—
72#16840245C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic, complemented
75#16840238C2211yescharacteristic, complemented
76#16840230C2211yescharacteristic
77C2×D4×Dic61C2211yescharacteristic
78#16840159C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840158C2211yescharacteristic, complemented
81#16840144C2211yescharacteristic
82#16840143C2211yescharacteristic
83#16840140C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic, complemented
85#16840122C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic
87#16840111C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840103C2211yescharacteristic
90#16840103C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840093C2211yescharacteristic
94#16840090C2211yescharacteristic
95#16840090C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic
97#16840082C2211yescharacteristic, complemented
98#16840081C2211yescharacteristic, complemented
99#16840057C2211yescharacteristic, complemented
100#16840056C2211yescharacteristic, complemented
101#16840050C2211yescharacteristic
102#16840050C2211yescharacteristic
103#16840050C2211yescharacteristic
104#16840048C2211yescharacteristic, complemented
105#16840046C2211yescharacteristic, complemented
106#16840046C2211yescharacteristic, complemented
107#16840045C2211yescharacteristic, complemented
108#16840044C2211yescharacteristic, complemented
109#16840041C2211yescharacteristic, complemented
110#16840020C2211yescharacteristic
111#16840019C2211yescharacteristic, complemented
112#16840018C2211yescharacteristic
113#16840018C2211yescharacteristic
114#16840018C2211yescharacteristic, complemented
115#16840014C2211yescharacteristic
116#16840013C2211yescharacteristic
117#16839994C2211yescharacteristic, complemented
118#16839991C2211yescharacteristic, complemented
119#16839990C2211yescharacteristic
120#16839986C2211yescharacteristic, complemented
121#16839985C2211yescharacteristic, complemented
122#16839983C2211yescharacteristic
123#16839983C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839979C2211yescharacteristic
126#16839977C2211yescharacteristic
127#16839971C2211yescharacteristic, complemented
128#16839966C2211yescharacteristic, complemented
129#16839965C2211yescharacteristic
130#16839965C2211yescharacteristic
131#16839926C2211yescharacteristic
132#16839925C2211yescharacteristic
133#16839922C2211yescharacteristic
134#16839920C2211yescharacteristic, complemented
135#16839916C2211yescharacteristic, complemented
136#16839913C2211yescharacteristic
137#16839908C2211yescharacteristic
138#16839907C2211yescharacteristic
139#16839900C2211yescharacteristic
140#16839899C2211yescharacteristic
141#16839890C2211yescharacteristic, complemented
142#16839886C2211yescharacteristic, complemented
143#16839871C2211yescharacteristic
144#16839871C2211yescharacteristic
145#16839870C2211yescharacteristic, complemented
146#16839869C2211yescharacteristic, complemented
147#16839868C2211yescharacteristic, complemented
148#16839866C2211yescharacteristic, complemented
149#16839866C2211yescharacteristic, complemented
150#16839866C2211yescharacteristic, complemented
151#16839859C2211yescharacteristic
152#16839859C2211yescharacteristic
153#16839859C2211yescharacteristic
154#16839856C2211yescharacteristic, complemented
155C4×#11758202C2211yescharacteristic, complemented
156#16839854C2211yescharacteristic, complemented
157#16839854C2211yescharacteristic, complemented
158#16839853C2211yescharacteristic
159#16839853C2211yescharacteristic
160#16839853C2211yescharacteristic
161#16839853C2211yescharacteristic
162#16839853C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164SD16×Dic61C2211yescharacteristic
165#16839849C2211yescharacteristic, complemented
166C4×#11758200C2211yescharacteristic
167#16839847C2211yescharacteristic, complemented
168#16839842C2211yescharacteristic
169#16839842C2211yescharacteristic
170#16839840C2211yescharacteristic
171#16839837C2211yescharacteristic
172#16839837C2211yescharacteristic, complemented
173#16839831C2211yescharacteristic
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839822C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177#16839812C2211yescharacteristic
178#16839805C2211yescharacteristic
179#16839805C2211yescharacteristic, complemented
180#16839803C2211yescharacteristic, complemented
181#16839764C2211yescharacteristic
182#16839755C2211yescharacteristic
183C2×#14519702C2211yescharacteristic, complemented
184#103×D61C2211yescharacteristic, complemented
185#16839719C2211yescharacteristic, complemented
186#16839717C2211yescharacteristic, complemented
187M16×Dic61C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#476C2211yescharacteristic
194C61×#470C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224C2311yescharacteristic
206C22×Dic122—21no—
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C23×Dic61—21no—
210#14519807—24no—
211#14519806—24no—
212#14519803—24no—
213C2×Dic244C2311yescharacteristic
214C2×Dic244C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758194C2311yescharacteristic
227C2×#11758194C2311yescharacteristic
228C2×#11758189C2311yescharacteristic
229C2×C8×D61C2311yescharacteristic
230#14519777C2311yescharacteristic
231#14519776—21no—
232#14519776—21no—
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519775—21no—
238#14519775—21no—
239#14519775C2311yescharacteristic
240#14519775C2311yescharacteristic
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519772D411yescharacteristic
245#14519771—21no—
246#14519771—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770D411yescharacteristic
253#14519768—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767D411yescharacteristic
258#14519766—21no—
259#14519766C2311yescharacteristic
260#14519765—21no—
261#14519765C2311yescharacteristic
262#14519764—21no—
263#14519764C2311yescharacteristic
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763D411yescharacteristic
271#14519762—21no—
272#14519761—21no—
273#14519761D411yescharacteristic
274#14519760—21no—
275#14519759—21no—
276#14519759—21no—
277#14519758—21no—
278#14519758—21no—
279#14519758—21no—
280#14519758—21no—
281#14519758D411yescharacteristic
282#14519757—21no—
283#14519757—21no—
284#14519757C2311yescharacteristic
285#14519756—21no—
286#14519756C2311yescharacteristic
287#14519756C2311yescharacteristic
288#14519756C2311yescharacteristic
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754D411yescharacteristic
306#14519753—21no—
307#14519753C2311yescharacteristic
308#14519752C2311yescharacteristic
309#14519751C2311yescharacteristic
310#14519750—21no—
311#14519750—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749D411yescharacteristic
316#14519748C2311yescharacteristic
317#14519746—21no—
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742—21no—
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338D4×Dic61—21no—
339D4×Dic61—21no—
340D4×Dic61—21no—
341D4×Dic61—21no—
342D4×Dic61—21no—
343D4×Dic61C2311yescharacteristic
344D4×Dic61C2311yescharacteristic
345D4×Dic61C2311yescharacteristic
346D4×Dic61C2311yescharacteristic
347D4×Dic61C2311yescharacteristic
348#14519739—21no—
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351C4×C22⋊D61—21no—
352C4×C22⋊D61C2311yescharacteristic
353C4×C22⋊D61C2311yescharacteristic
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519736—21no—
361#14519736C2311yescharacteristic
362#14519735—21no—
363#14519735C2311yescharacteristic
364#14519734—21no—
365#14519734—21no—
366#14519734—21no—
367#14519734—21no—
368#14519734C2311yescharacteristic
369#14519733—21no—
370#14519733—21no—
371#14519733—21no—
372#14519733—21no—
373#14519733—21no—
374#14519733—21no—
375C2×C4⋊Dic61—21no—
376C2×C4⋊Dic61C2311yescharacteristic
377C2×C4⋊Dic61C2311yescharacteristic
378C2×#11758196—21no—
379C2×#11758196—21no—
380C4⋊C4×D61C2311yescharacteristic
381C2×C22⋊Dic61—21no—
382C2×C22⋊Dic61—21no—
383C2×C4×Dic61C2311yescharacteristic
384C42×D61—21no—
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×#41×C61C2311yescharacteristic
439C22×D4×C61C2311yescharacteristic
440C2×Q16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×M16×C61C2311yescharacteristic
444C22×C8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446#126×C61—21no—
447#126×C61—21no—
448#124×C61—21no—
449#124×C61C2311yescharacteristic
450#123×C61—21no—
451C22⋊Q8×C61C2311yescharacteristic
452C22⋊Q8×C61C2311yescharacteristic
453C22⋊Q8×C61C2311yescharacteristic
454#121×C61—21no—
455#121×C61C2311yescharacteristic
456#120×C61—21no—
457C4×Q8×C61—21no—
458C4×Q8×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61C2311yescharacteristic
462#117×C61C2311yescharacteristic
463C2×C22⋊C4×C61—21no—
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C24×C61—21no—
482#41×C61—22no—
483#41×C61—41no—
484C2×Q8×C61—21no—
485C2×Q8×C61C2411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×D4×C61—22no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—41no—
492C2×D4×C61C2×D411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61C2411yescharacteristic
498C22×C4×C61C2411yescharacteristic
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—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—82no—
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517Q8×D61—22no—
518Q8×D61—41no—
519#11758224—22no—
520#11758224—41no—
521#11758224—82no—
522#11758222—22no—
523#11758222—41no—
524C2×D244—21no—
525C2×D244C2411yescharacteristic
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61C2411yescharacteristic
532C2×Dic122—22no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—41no—
541C2×Dic122—82no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544C2×Dic122C2411yescharacteristic
545C2×Dic122C2411yescharacteristic
546Q16×C61—41no—
547SD16×C61—22no—
548SD16×C61—41no—
549M16×C61—41no—
550C2×C8×C61—41no—
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61C2×D411yescharacteristic
575C22⋊C4×C61C2×D411yescharacteristic
576C42×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593C22⋊Dic61C2×D411yescharacteristic
594C22⋊Dic61C2×D411yescharacteristic
595#11758202—22no—
596#11758202—22no—
597#11758202—22no—
598#11758201—41no—
599#11758200—22no—
600#11758200—22no—
601#11758200—41no—
602#11758200#4114yescomplemented
603#11758199—22no—
604#11758199—22no—
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#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198C2×D411yescharacteristic
617#11758198C2×D411yescharacteristic
618#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2×D411yescharacteristic
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678#11758194—22no—
679#11758194—22no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684Dic244—22no—
685Dic244—41no—
686#11758190—41no—
687#11758189—22no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—42no—
692C23×C61—42no—
693C23×C61—81no—
694C23×C61C22×D411yescharacteristic
695C23×C61C22×D411yescharacteristic
696C22×D61—21no—
697C22×D61C22×D411yescharacteristic
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—81no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—21no—
706D4×C61—41no—
707D4×C61—42no—
708D4×C61—42no—
709D4×C61—81no—
710D4×C61C2×#4112yes—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—42no—
722C2×C4×C61—81no—
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C22×D411yescharacteristic
727C2×C4×C61C2511yescharacteristic
728C22⋊D61—22no—
729C22⋊D61—41no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C2×Dic61—21no—
735C2×Dic61—22no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—41no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—42no—
746C2×Dic61—42no—
747C2×Dic61—81no—
748C2×Dic61—81no—
749C2×Dic61—81no—
750C2×Dic61—81no—
751C2×Dic61—81no—
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759D244—21no—
760D244—21no—
761D244—81no—
762C4×D61—21no—
763C4×D61—21no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—81no—
768C4×D61—81no—
769Dic122—21no—
770Dic122—22no—
771Dic122—21no—
772Dic122—21no—
773Dic122—21no—
774Dic122—21no—
775Dic122—42no—
776Dic122—42no—
777Dic122—42no—
778Dic122—81no—
779Dic122—81no—
780Dic122—81no—
781Dic122—81no—
782Dic122C2×#4112yes—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61—21no—
787#92418—21no—
788#92418—21no—
789#92418—21no—
790#92418C2×#4112yes—
791#61557—611nomaximal, Sylow
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—22no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—84no—
805C22×C61C23×D411yescharacteristic
806C2×D61—21no—
807C2×D61—21no—
808C2×D61—21no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61C22×#4111yescharacteristic
823C4×C61#58511yescharacteristic
824Dic61—21no—
825Dic61—21no—
826Dic61—21no—
827Dic61—22no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61#57712yes—
838#3520—611no—
839#3518—611no—
840#3393—611no—
841Q8×SD16—611no—
842#3369—611no—
843#3367—611no—
844#3356—611no—
845#3356—611no—
846#3354—611no—
847#3316—611no—
848#3316—611no—
849#3311—611no—
850#3311D6111yescharacteristic, complemented
851#3303—611no—
852#3298—611no—
853#3276—611no—
854#3275—611no—
855#3275—611no—
856#3185—611no—
857#3173—611no—
858#3173—611no—
859#3125—611no—
860#3125—611no—
861#3121—611no—
862#3121—611no—
863#3107—611no—
864#3101—611no—
865#2969—611no—
866#2947—611no—
867#2947—611no—
868C4×AGL(1,ℤ/8)—611no—
869C2×C61—41no—
870C2×C61—41no—
871C2×C61—42no—
872C2×C61—81no—
873C2×C61D4×#4111yescharacteristic
874C2×C61C2×#57711yescharacteristic
875C2×C61#358611yescharacteristic
876D61—41no—
877D61—81no—
878C2×#137—611no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881Q82—611no—
882#556—611no—
883#556—611no—
884#556—611no—
885#556—1221no—
886#556—1221no—
887#556—1221no—
888#556C2×D6111yescharacteristic
889#555—611no—
890#555—1221no—
891#554—611no—
892#554—611no—
893#552—1221no—
894#551—1221no—
895#551—1221no—
896D4×Q8—611no—
897D4×Q8—611no—
898#548—611no—
899#548—611no—
900#548—1221no—
901#547—611no—
902#547—611no—
903#546—611no—
904#546C2×D6111yescharacteristic
905#542—611no—
906#542—611no—
907#542—611no—
908#542—611no—
909#542—1221no—
910#542—1221no—
911#539—1221no—
912#539—1221no—
913#533—611no—
914#533—611no—
915#533—1221no—
916#529—611no—
917#529—1221no—
918#525—1221no—
919C2×C22⋊Q8—1221no—
920#520—611no—
921#520—611no—
922#519—611no—
923#519—611no—
924C4×#41—611no—
925C2×C4×D4—611no—
926#498—611no—
927#498—611no—
928#498—611no—
929#495—611no—
930#495—611no—
931#494—611no—
932#489—611no—
933#489—611no—
934#489—611no—
935#489C2×D6111yescharacteristic
936#487—611no—
937#487—611no—
938#485—611no—
939#485—611no—
940#485—611no—
941#485C2×D6111yescharacteristic
942#483—611no—
943#483—611no—
944#483—611no—
945#483—611no—
946#482—611no—
947#482C2×D6111yescharacteristic
948#481—611no—
949#481—611no—
950#477—611no—
951#477—611no—
952#476—611no—
953#476—611no—
954#476—611no—
955#476C2×D6111yescharacteristic
956#475—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#475—611no—
961#474—611no—
962#470—611no—
963#470—611no—
964#470—611no—
965#470—611no—
966#470—611no—
967#470C2×D6111yescharacteristic
968#469—611no—
969#469—611no—
970#465—611no—
971#465—611no—
972#465—611no—
973#465C2×D6111yescharacteristic
974#464—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#464C2×D6111yescharacteristic
980#463—611no—
981#463—611no—
982#462—611no—
983#461—611no—
984#461—611no—
985#461—611no—
986#452—611no—
987#452—611no—
988#452—611no—
989#452C2×D6111yescharacteristic
990#451—611no—
991#451—611no—
992#450—611no—
993#450C2×D6111yescharacteristic
994#449—611no—
995#449—611no—
996#448—611no—
997#448—611no—
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442—611no—
1002#441—611no—
1003#441—611no—
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#441—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440C2×D6111yescharacteristic
1012C4×Q16—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028#436—611no—
1029#436—611no—
1030#436—611no—
1031#435—611no—
1032#435C2×D6111yescharacteristic
1033C8×D4—611no—
1034#433—611no—
1035#433—611no—
1036#431—611no—
1037#428—611no—
1038#428—611no—
1039#428—611no—
1040#418C2×D6111yescharacteristic
1041#417—611no—
1042#416—611no—
1043#416C2×D6111yescharacteristic
1044C2×#103—611no—
1045C2×#103—611no—
1046#405—611no—
1047#405—611no—
1048C4×M16—611no—
1049C61#6155711yescharacteristic, complemented, Sylow
1050C2×#41—611no—
1051C2×#41—611no—
1052C2×#41—1221no—
1053C2×#41C22×D6111yescharacteristic
1054C22×Q8—611no—
1055C22×Q8—611no—
1056C22×Q8—1221no—
1057C22×D4C22×D6111yescharacteristic
1058C23×C4—1221no—
1059#137—1224no—
1060#137—1224no—
1061AGL(1,ℤ/8)—1224no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×Q16—611no—
1065C2×Q16—611no—
1066C2×Q16—611no—
1067C2×Q16C22×D6111yescharacteristic
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×SD16—611no—
1074C2×SD16C22×D6111yescharacteristic
1075C2×SD16C22×D6111yescharacteristic
1076C2×D8—611no—
1077C2×D8—611no—
1078C2×M16—611no—
1079C2×M16—611no—
1080C2×M16—611no—
1081C2×M16C22×D6111yescharacteristic
1082C22×C8—611no—
1083C22×C8C22×D6111yescharacteristic
1084C4⋊Q8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—611no—
1089C4⋊Q8—611no—
1090C4⋊Q8—611no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093C4⋊Q8—1221no—
1094C4⋊Q8—1221no—
1095C4⋊Q8C22×D6111yescharacteristic
1096#126—21no—
1097#126—21no—
1098#126—611no—
1099#126—611no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#125—611no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#124—1221no—
1129#124C22×D6111yescharacteristic
1130#123—21no—
1131#123—611no—
1132#123—611no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142C22⋊Q8—611no—
1143C22⋊Q8—611no—
1144C22⋊Q8—611no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8C22×D6111yescharacteristic
1169C22⋊Q8C22×D6111yescharacteristic
1170C22⋊Q8C22×D6111yescharacteristic
1171#121—21no—
1172#121—611no—
1173#121—611no—
1174#121—611no—
1175#121—611no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121C22×D6111yescharacteristic
1182#120—21no—
1183#120—1221no—
1184C4×Q8—21no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8C22×D6111yescharacteristic
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4C22×D6111yescharacteristic
1229C4×D4C22×D6111yescharacteristic
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117C22×D6111yescharacteristic
1246#117C22×D6111yescharacteristic
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C4⋊C4—1221no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107C22×D6111yescharacteristic
1262#106—611no—
1263#106—611no—
1264#106—611no—
1265#106—611no—
1266#106—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106C22×D6111yescharacteristic
1273#106C22×D6111yescharacteristic
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8C22×D6111yescharacteristic
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103C22×D6111yescharacteristic
1297#103C22×D6111yescharacteristic
1298#103C22×D6111yescharacteristic
1299#103C22×D6111yescharacteristic
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102C22×D6111yescharacteristic
1307#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8C22×D6111yescharacteristic
1317C22⋊C8C22×D6111yescharacteristic
1318#97—611no—
1319#97—611no—
1320#97—611no—
1321#97C22×D6111yescharacteristic
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C24—21no—
1329#41—22no—
1330#41—41no—
1331#41—1222no—
1332#41—1222no—
1333#41—4882no—
1334#41—2441no—
1335#41—2441no—
1336C2×Q8—21no—
1337C2×Q8—611no—
1338C2×Q8—611no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1221no—
1345C2×Q8—1221no—
1346C2×Q8—1222no—
1347C2×Q8—1221no—
1348C2×Q8—1221no—
1349C2×Q8—1222no—
1350C2×Q8—4882no—
1351C2×Q8—2441no—
1352C2×Q8—2441no—
1353C2×Q8C23×D6111yescharacteristic
1354C2×Q8C23×D6111yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—41no—
1360C2×D4—611no—
1361C2×D4—611no—
1362C2×D4—611no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4D4×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C2×D4C23×D6111yescharacteristic
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
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×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—4882no—
1391C22×C4C23×D6111yescharacteristic
1392C22×C4C23×D6111yescharacteristic
1393Q16—41no—
1394Q16—1222no—
1395Q16—1222no—
1396Q16—1222no—
1397Q16—1222no—
1398Q16—2441no—
1399SD16—22no—
1400SD16—41no—
1401SD16—614no—
1402SD16—1222no—
1403SD16—1222no—
1404SD16—2441no—
1405SD16—2441no—
1406SD16—2441no—
1407D8—1222no—
1408D8—1222no—
1409M16—41no—
1410M16—1222no—
1411M16—1222no—
1412M16—1222no—
1413C2×C8—41no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—611no—
1418C2×C8—2441no—
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
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⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4D4×D6111yescharacteristic
1470C4⋊C4C23×D6111yescharacteristic
1471C4⋊C4C23×D6111yescharacteristic
1472C4⋊C4C23×D6111yescharacteristic
1473C4⋊C4C23×D6111yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4D4×D6111yescharacteristic
1514C22⋊C4D4×D6111yescharacteristic
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42—1221no—
1535C42C23×D6111yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—42no—
1540C23—81no—
1541C23—611no—
1542C23—1221no—
1543C23C2×D4×D6111yescharacteristic
1544C23C2×D4×D6111yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—81no—
1550Q8—612no—
1551Q8—1222no—
1552Q8—1221no—
1553Q8—1221no—
1554Q8—1221no—
1555Q8—1221no—
1556Q8—1221no—
1557Q8—4881no—
1558Q8—4881no—
1559Q8—4881no—
1560Q8—4881no—
1561Q8—2442no—
1562Q8—2442no—
1563Q8—2442no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—41no—
1568D4—42no—
1569D4—42no—
1570D4—81no—
1571D4—1222no—
1572D4—1221no—
1573D4—1221no—
1574D4—4881no—
1575D4—4881no—
1576D4—4881no—
1577D4—2441no—
1578D4—2442no—
1579D4—2442no—
1580D4#41×D6112yes—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—1222no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2441no—
1623C2×C4—2442no—
1624C2×C4—2442no—
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C2×D4×D6111yescharacteristic
1629C2×C4C24×D6111yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—612no—
1635C8—1221no—
1636C8—1221no—
1637C8—1221no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—22no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—84no—
1651C22—1221no—
1652C22—1221no—
1653C22—1221no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22C22×D4×D6111yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—612no—
1669C4—1221no—
1670C4—1221no—
1671C4—1221no—
1672C4—1222no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4C2×#41×D6111yescharacteristic
1683C4#1684059711yescharacteristic
1684C2—41no—
1685C2—41no—
1686C2—42no—
1687C2—81no—
1688C2—4881no—
1689C2—2441no—
1690C2#2145930311yescharacteristic
1691C2#577×D6111yescharacteristic
1692C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3311C2
socleC22×C61C23×D4
hypercenter#3311D61
hypocenterC61#61557
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #21459855C2semidirect
2. #21459829C2semidirect
3. #21458802C2semidirect
4. #21458674C2semidirect
5. #21458556C2semidirect
6. #21458538C2semidirect
7. #21458432C2semidirect
8. #21458428C2semidirect
9. #21458412C2semidirect
10. #21457932C2semidirect
11. #21457925C2semidirect
12. #21457856C2semidirect
13. #21457743C2semidirect
14. #21457679C2semidirect
15. #21457463C2semidirect
16. #21457454C2semidirect
17. #21457446C2semidirect
18. #21456559C2semidirect
19. #21456435C2semidirect
20. #21456429C2semidirect
21. #21456101C2semidirect
22. #21456089C2semidirect
23. #21456045C2semidirect
24. #21456043C2semidirect
25. #21455885C2semidirect
26. #21455822C2semidirect
27. #21454816C2semidirect
28. #21454665C2semidirect
29. #21454659C2semidirect
30. #21454623C2semidirect
31. C61×#3311C2semidirect
35. #16840492C22semidirect
37. #16840484C22semidirect
42. #16840475C22semidirect
50. #16840425C22semidirect
57. #16840386C22semidirect
58. #16840385C22semidirect
74. #16840239C22semidirect
75. #16840238C22semidirect
78. #16840159C22semidirect
79. #16840159C22semidirect
80. #16840158C22semidirect
83. #16840140C22semidirect
84. #16840123C22semidirect
85. #16840122C22semidirect
87. #16840111C22semidirect
88. #16840111C22semidirect
90. #16840103C22semidirect
91. #16840101C22semidirect
92. #16840094C22semidirect
95. #16840090C22semidirect
97. #16840082C22semidirect
98. #16840081C22semidirect
99. #16840057C22semidirect
100. #16840056C22semidirect
104. #16840048C22semidirect
105. #16840046C22semidirect
106. #16840046C22semidirect
107. #16840045C22semidirect
108. #16840044C22semidirect
109. #16840041C22semidirect
111. #16840019C22semidirect
114. #16840018C22semidirect
117. #16839994C22semidirect
118. #16839991C22semidirect
120. #16839986C22semidirect
121. #16839985C22semidirect
127. #16839971C22semidirect
128. #16839966C22semidirect
134. #16839920C22semidirect
135. #16839916C22semidirect
141. #16839890C22semidirect
142. #16839886C22semidirect
145. #16839870C22semidirect
146. #16839869C22semidirect
147. #16839868C22semidirect
148. #16839866C22semidirect
149. #16839866C22semidirect
150. #16839866C22semidirect
154. #16839856C22semidirect
155. C4×#11758202C22semidirect
156. #16839854C22semidirect
157. #16839854C22semidirect
165. #16839849C22semidirect
167. #16839847C22semidirect
172. #16839837C22semidirect
174. C8×C22⋊D61C22semidirect
175. #16839822C22semidirect
176. #16839820C22semidirect
179. #16839805C22semidirect
180. #16839803C22semidirect
183. C2×#14519702C22semidirect
184. #103×D61C22semidirect
185. #16839719C22semidirect
186. #16839717C22semidirect
602. #11758200#41semidirect
850. #3311D61semidirect
1049. C61#61557semidirect

Maximal subgroups

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

subgroupindex
#214598552
#214598292
#214588022
#214586742
#214585562
#214585382
#214584322
#214584282
#214584122
#214579322
#214579252
#214578562
#214577432
#214576792
#214574632
#214574542
#214574462
#214565592
#214564352
#214564292
#214561012
#214560892
#214560452
#214560432
#214558852
#214558222
#214548162
#214546652
#214546592
#214546232
C61×#33112
#6155761