Finite Group Databasebeta

← #30573487

Subgroups — #30573487

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460409C211yesmaximal, characteristic, complemented
2#21459819C211yesmaximal, characteristic, complemented
3#21458862C211yesmaximal, characteristic, complemented
4#21458837C211yesmaximal, characteristic, complemented
5#21458662C211yesmaximal, characteristic, complemented
6#21458583C211yesmaximal, characteristic, complemented
7#21457828C211yesmaximal, characteristic, complemented
8#21457808C211yesmaximal, characteristic, complemented
9#21457800C211yesmaximal, characteristic, complemented
10#21457783C211yesmaximal, characteristic, complemented
11#21457719C211yesmaximal, characteristic, complemented
12#21457674C211yesmaximal, characteristic, complemented
13#21457572C211yesmaximal, characteristic, complemented
14#21457550C211yesmaximal, characteristic, complemented
15#21457402C211yesmaximal, characteristic, complemented
16#21457402C211yesmaximal, characteristic, complemented
17#21457361C211yesmaximal, characteristic, complemented
18#21457352C211yesmaximal, characteristic, complemented
19#21457267C211yesmaximal, characteristic, complemented
20#21457254C211yesmaximal, characteristic, complemented
21#21457144C211yesmaximal, characteristic, complemented
22#21456882C211yesmaximal, characteristic, complemented
23#21456868C211yesmaximal, characteristic, complemented
24#21456812C211yesmaximal, characteristic, complemented
25#21456040C211yesmaximal, characteristic, complemented
26#21455935C211yesmaximal, characteristic, complemented
27#21455369C211yesmaximal, characteristic, complemented
28#21455355C211yesmaximal, characteristic, complemented
29#21455269C211yesmaximal, characteristic, complemented
30#21454953C211yesmaximal, characteristic, complemented
31C61×#3119C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic, complemented
33C2×#14519804C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35C2×#14519798C2211yescharacteristic
36C2×#14519798C2211yescharacteristic, complemented
37C2×#14519797C2211yescharacteristic
38#16840509—21no—
39#16840500—21no—
40#16840495C2211yescharacteristic
41#16840488C2211yescharacteristic, complemented
42#16840482C2211yescharacteristic
43#16840464—21no—
44#16840462—21no—
45#16840462C2211yescharacteristic
46#16840460—21no—
47#16840460C2211yescharacteristic, complemented
48#16840435—21no—
49#16840434C2211yescharacteristic
50#16840433—21no—
51#16840433C2211yescharacteristic, complemented
52#16840431C2211yescharacteristic
53#16840431C2211yescharacteristic, complemented
54#16840430C2211yescharacteristic
55#16840418C2211yescharacteristic
56#16840418C2211yescharacteristic
57#16840416C2211yescharacteristic
58#16840413—21no—
59#16840413C2211yescharacteristic
60#16840409C2211yescharacteristic
61#16840407C2211yescharacteristic
62#16840375C2211yescharacteristic
63#16840367—21no—
64#16840367C2211yescharacteristic, complemented
65#16840365—21no—
66#16840363—21no—
67#16840363C2211yescharacteristic
68#16840356—21no—
69#16840349—21no—
70#16840348—21no—
71#16840338C2211yescharacteristic
72#16840325C2211yescharacteristic
73#16840310C2211yescharacteristic
74#16840309—21no—
75#16840309C2211yescharacteristic, complemented
76#16840297C2211yescharacteristic
77#16840290—21no—
78#16840290C2211yescharacteristic
79#16840244C2211yescharacteristic
80C4×#11758226C2211yescharacteristic, complemented
81#16840151C2211yescharacteristic
82#16840150C2211yescharacteristic
83#16840150C2211yescharacteristic
84#16840150C2211yescharacteristic, complemented
85#16840137C2211yescharacteristic
86#16840135C2211yescharacteristic, complemented
87#16840131C2211yescharacteristic, complemented
88#16840125C2211yescharacteristic
89#16840120C2211yescharacteristic
90#16840120C2211yescharacteristic, complemented
91#16840117C2211yescharacteristic
92#16840115C2211yescharacteristic
93#16840106C2211yescharacteristic, complemented
94#16840099C2211yescharacteristic
95#16840094C2211yescharacteristic
96#16840089C2211yescharacteristic
97#16840072C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840062C2211yescharacteristic
100#16840062C2211yescharacteristic, complemented
101#16840059C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic, complemented
103#16840056C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic
105#16840013C2211yescharacteristic
106#16840013C2211yescharacteristic, complemented
107#16840009C2211yescharacteristic
108#16840007C2211yescharacteristic
109#16839999C2211yescharacteristic
110#16839997C2211yescharacteristic
111#16839996C2211yescharacteristic
112#16839996C2211yescharacteristic, complemented
113#16839992C2211yescharacteristic
114#16839992C2211yescharacteristic, complemented
115#16839990C2211yescharacteristic
116#16839990C2211yescharacteristic, complemented
117#16839984C2211yescharacteristic
118#16839984C2211yescharacteristic
119#16839982C2211yescharacteristic
120#16839982C2211yescharacteristic
121#16839982C2211yescharacteristic, complemented
122#16839978C2211yescharacteristic
123#16839978C2211yescharacteristic
124#16839977C2211yescharacteristic
125#16839977C2211yescharacteristic
126#16839976C2211yescharacteristic
127#16839976C2211yescharacteristic
128#16839976C2211yescharacteristic, complemented
129#16839972C2211yescharacteristic, complemented
130#16839972C2211yescharacteristic, complemented
131#16839968C2211yescharacteristic, complemented
132#16839968C2211yescharacteristic, complemented
133#16839967C2211yescharacteristic, complemented
134#16839967C2211yescharacteristic, complemented
135#16839961C2211yescharacteristic, complemented
136#16839961C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic
139#16839957C2211yescharacteristic
140#16839957C2211yescharacteristic, complemented
141#16839956C2211yescharacteristic
142#16839956C2211yescharacteristic
143#16839954C2211yescharacteristic
144#16839954C2211yescharacteristic
145#16839927C2211yescharacteristic
146#16839927C2211yescharacteristic
147#16839927C2211yescharacteristic, complemented
148#16839910C2211yescharacteristic
149#16839909C2211yescharacteristic
150#16839909C2211yescharacteristic
151#16839908C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839908C2211yescharacteristic, complemented
154#16839904C2211yescharacteristic
155#16839904C2211yescharacteristic
156#16839904C2211yescharacteristic, complemented
157#16839903C2211yescharacteristic, complemented
158#16839903C2211yescharacteristic, complemented
159#16839897C2211yescharacteristic
160#16839894C2211yescharacteristic
161#16839892C2211yescharacteristic, complemented
162#16839890C2211yescharacteristic, complemented
163#16839873C2211yescharacteristic
164#16839866C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839865C2211yescharacteristic
167#16839861C2211yescharacteristic, complemented
168#16839861C2211yescharacteristic, complemented
169#16839854C2211yescharacteristic, complemented
170#16839849C2211yescharacteristic, complemented
171#16839836C2211yescharacteristic
172#16839836C2211yescharacteristic, complemented
173#16839835C2211yescharacteristic
174#16839830C2211yescharacteristic
175C8×D244C2211yescharacteristic
176#16839825C2211yescharacteristic, complemented
177#16839822C2211yescharacteristic
178#16839818C2211yescharacteristic, complemented
179#16839789C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839761C2211yescharacteristic
183#16839760C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic, complemented
186C2×#14519700C2211yescharacteristic, complemented
187#102×D61C2211yescharacteristic
188C61×#540C2211yescharacteristic
189C61×#520C2211yescharacteristic, complemented
190C61×#481C2211yescharacteristic
191C61×#480C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#460C2211yescharacteristic
195C61×#459C2211yescharacteristic
196C61×#449C2211yescharacteristic
197C61×#449C2211yescharacteristic, complemented
198C61×#442C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222C2311yescharacteristic
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C2×#11758224C2311yescharacteristic
212C22×Dic122C2311yescharacteristic
213C2×D4×D61C2311yescharacteristic
214#14519807—42no—
215#14519804—42no—
216#14519798—42no—
217#14519798—42no—
218#14519798—42no—
219#14519797—42no—
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C2×#11758189C2311yescharacteristic
242C22×#92418C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245C2×C8×D61C2311yescharacteristic
246#14519777C2311yescharacteristic
247#14519777C2311yescharacteristic
248#14519776—21no—
249#14519776C2311yescharacteristic
250#14519774—21no—
251#14519774C2311yescharacteristic
252#14519773—21no—
253#14519773—21no—
254#14519773—21no—
255#14519773C2311yescharacteristic
256#14519773C2311yescharacteristic
257#14519773C2311yescharacteristic
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519772D411yescharacteristic
263#14519770—21no—
264#14519770—21no—
265#14519770—21no—
266#14519770D411yescharacteristic
267#14519769—21no—
268#14519769C2311yescharacteristic
269#14519768—21no—
270#14519768—21no—
271#14519768—21no—
272#14519768C2311yescharacteristic
273#14519767D411yescharacteristic
274#14519765C2311yescharacteristic
275#14519765C2311yescharacteristic
276#14519764C2311yescharacteristic
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763D411yescharacteristic
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519762—21no—
289#14519762D411yescharacteristic
290#14519761—21no—
291#14519761—21no—
292#14519761—21no—
293#14519761—21no—
294#14519761—21no—
295#14519760—21no—
296#14519760—21no—
297#14519760—21no—
298#14519760—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519759D411yescharacteristic
303#14519757—21no—
304#14519757—21no—
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519756—21no—
309#14519755—21no—
310#14519755D411yescharacteristic
311#14519754—21no—
312#14519754—21no—
313#14519752—21no—
314#14519752—21no—
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519751—21no—
319#14519751—21no—
320#14519751—21no—
321#14519751—21no—
322#14519751—21no—
323#14519751—21no—
324#14519751—21no—
325#14519751C2311yescharacteristic
326#14519751C2311yescharacteristic
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519750D411yescharacteristic
336#14519749—21no—
337#14519749—21no—
338#14519749—21no—
339#14519749—21no—
340#14519749—21no—
341#14519748—21no—
342#14519748—21no—
343#14519748—21no—
344#14519748—21no—
345#14519748—21no—
346#14519748C2311yescharacteristic
347#14519748C2311yescharacteristic
348#14519747—21no—
349#14519745—21no—
350#14519745—21no—
351#14519745—21no—
352Q8×Dic61C2311yescharacteristic
353Q8×Dic61C2311yescharacteristic
354C4×Dic122—21no—
355C4×Dic122C2311yescharacteristic
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359C4×D244—21no—
360C4×D244—21no—
361C4×D244—21no—
362C4×D244C2311yescharacteristic
363C4×D244C2311yescharacteristic
364C4×D244C2311yescharacteristic
365D4×Dic61—21no—
366D4×Dic61—21no—
367D4×Dic61—21no—
368D4×Dic61—21no—
369#14519739—21no—
370#14519739—21no—
371#14519739—21no—
372#14519739C2311yescharacteristic
373#14519739C2311yescharacteristic
374#14519739C2311yescharacteristic
375C4×C22⋊D61—21no—
376C4×C22⋊D61—21no—
377C4×C22⋊D61—21no—
378C4×C22⋊D61—21no—
379C4×C22⋊D61—21no—
380C4×C22⋊D61—21no—
381C4×C22⋊D61C2311yescharacteristic
382C4×C22⋊D61C2311yescharacteristic
383#14519737—21no—
384#14519736—21no—
385#14519735—21no—
386#14519735—21no—
387#14519735C2311yescharacteristic
388#14519734—21no—
389#14519734C2311yescharacteristic
390C2×C4⋊Dic61—21no—
391C4⋊C4×D61—21no—
392C4⋊C4×D61C2311yescharacteristic
393C2×#11758198—21no—
394C22⋊C4×D61—21no—
395C42×D61—21no—
396C42×D61C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446#127×C61C2311yescharacteristic
447#125×C61C2311yescharacteristic
448#123×C61—21no—
449#123×C61—21no—
450#121×C61—21no—
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61—21no—
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61C2311yescharacteristic
464C2×C4⋊C4×C61—21no—
465C2×C4⋊C4×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—22no—
486#41×C61—41no—
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61C2411yescharacteristic
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61C2×D411yescharacteristic
519C2×C22⋊D61C2×D411yescharacteristic
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524#11758226—22no—
525#11758226—22no—
526#11758226—41no—
527#11758226—41no—
528#11758224—41no—
529#11758224—41no—
530#11758224—41no—
531#11758224—41no—
532#11758224—41no—
533#11758224—41no—
534D4×D61—41no—
535D4×D61—41no—
536#11758222—41no—
537#11758222—41no—
538#11758222—82no—
539#11758222—82no—
540#11758222—82no—
541C2×D244—21no—
542C2×D244—21no—
543C2×D244—21no—
544C2×D244—21no—
545C2×D244—21no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244C2×D411yescharacteristic
549C2×D244C2411yescharacteristic
550C2×D244C2411yescharacteristic
551C2×D244C2411yescharacteristic
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61C2×D411yescharacteristic
562C2×C4×D61C2×D411yescharacteristic
563C2×C4×D61C2411yescharacteristic
564C2×C4×D61C2411yescharacteristic
565C2×Dic122—21no—
566C2×Dic122—21no—
567C2×Dic122—41no—
568C2×Dic122—41no—
569C2×Dic122C2×D411yescharacteristic
570C2×Dic122C2411yescharacteristic
571C2×Dic122C2411yescharacteristic
572C2×Dic122C2411yescharacteristic
573SD16×C61—22no—
574SD16×C61—22no—
575D8×C61—41no—
576D8×C61—41no—
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C2×C8×C61C2411yescharacteristic
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61C2×D411yescharacteristic
587C4⋊C4×C61C2×D411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61C2×D411yescharacteristic
599C22⋊C4×C61C2×D411yescharacteristic
600C42×C61—21no—
601C42×C61—21no—
602C42×C61C2411yescharacteristic
603C42×C61C2411yescharacteristic
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614#11758202—22no—
615#11758202—22no—
616#11758202—22no—
617#11758201—22no—
618#11758200—41no—
619#11758200—41no—
620#11758200—41no—
621#11758199—41no—
622#11758199—41no—
623#11758199—41no—
624#11758199—41no—
625#11758199—41no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61C2×D411yescharacteristic
661C4⋊Dic61C2×D411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688#11758194—41no—
689C2×#92418—41no—
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694D488—41no—
695D488—41no—
696#11758190—41no—
697#11758190—41no—
698#11758190—41no—
699#11758190—41no—
700#11758190—41no—
701#11758190—41no—
702#11758189—41no—
703C8×D61—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—81no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61C22×D411yescharacteristic
717C22×D61C22×D411yescharacteristic
718Q8×C61—21no—
719Q8×C61H(5,𝔽2)12yes—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—42no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—42no—
739C2×C4×C61—81no—
740C2×C4×C61—81no—
741C2×C4×C61—81no—
742C2×C4×C61—81no—
743C2×C4×C61—81no—
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C2511yescharacteristic
750C22⋊D61—41no—
751C22⋊D61—41no—
752C22⋊D61—42no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—81no—
773C2×Dic61—81no—
774C2×Dic61—81no—
775C2×Dic61—81no—
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782D244—21no—
783D244—21no—
784D244—21no—
785D244—21no—
786D244—21no—
787D244—21no—
788D244—41no—
789D244—42no—
790D244—42no—
791D244—81no—
792D244—81no—
793D244—81no—
794D244—81no—
795D244—81no—
796C4×D61—21no—
797C4×D61—21no—
798C4×D61—21no—
799C4×D61—21no—
800C4×D61—41no—
801C4×D61—41no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811Dic122—21no—
812Dic122—21no—
813Dic122—21no—
814Dic122—21no—
815Dic122—21no—
816Dic122—21no—
817Dic122—41no—
818Dic122—42no—
819Dic122—81no—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62014—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61C23×D411yescharacteristic
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—21no—
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—162no—
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—22no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61C2×H(5,𝔽2)11yescharacteristic
869C4×C61#58511yescharacteristic
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881#3562—611no—
882#3517—611no—
883#3399—611no—
884#3397—611no—
885#3377—611no—
886#3371—611no—
887#3309—611no—
888#3308—611no—
889#3307—611no—
890#3306—611no—
891#3301—611no—
892#3297—611no—
893#3287—611no—
894#3284—611no—
895#3271—611no—
896#3271—611no—
897#3268—611no—
898#3268—611no—
899#3260—611no—
900#3259—611no—
901#3247—611no—
902#3221—611no—
903#3220—611no—
904#3214—611no—
905#3120—611no—
906#3119D6111yescharacteristic, complemented
907#3111—611no—
908#3046—611no—
909#3045—611no—
910#3035—611no—
911#2992—611no—
912C2×C61—41no—
913C2×C61—81no—
914C2×C61—81no—
915C2×C61—81no—
916C2×C61#348811yescharacteristic
917C2×C61#358411yescharacteristic
918C2×C61#358511yescharacteristic
919D61—41no—
920D61—41no—
921D61—81no—
922D61—81no—
923D61—81no—
924C2×#137—611no—
925C2×AGL(1,ℤ/8)—611no—
926C2×#135—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135—611no—
930#562—1221no—
931#560—1221no—
932#559—611no—
933#557—611no—
934#556—611no—
935#553—611no—
936#553—611no—
937#553—1221no—
938#553—1221no—
939#553—1221no—
940#551—1221no—
941#550—611no—
942#550—611no—
943#550—611no—
944#550—611no—
945#550—611no—
946#550—1221no—
947#548—611no—
948#548—611no—
949#547—611no—
950#547—611no—
951#547—1221no—
952#546—611no—
953#546—611no—
954#541—611no—
955#540—611no—
956#540—611no—
957#540—1221no—
958#540—1221no—
959#540—1221no—
960#540C2×D6111yescharacteristic
961#539—1221no—
962#538—1221no—
963#538—1221no—
964#536—611no—
965#535—611no—
966#532—611no—
967#532—611no—
968#532—1221no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#520—611no—
973#520C2×D6111yescharacteristic, complemented
974C4×#41—611no—
975#496—611no—
976#496—611no—
977#496—611no—
978#496—611no—
979#493—611no—
980#492—611no—
981#491—611no—
982#490—611no—
983#489—611no—
984#489—611no—
985#488—611no—
986#488—611no—
987#485—611no—
988#484—611no—
989#483—611no—
990#482—611no—
991#481C2×D6111yescharacteristic
992#480C2×D6111yescharacteristic, complemented
993#479—611no—
994#479—611no—
995#479C2×D6111yescharacteristic, complemented
996#478—611no—
997#478—611no—
998#478—611no—
999#478—611no—
1000#478C2×D6111yescharacteristic, complemented
1001#477—611no—
1002#476—611no—
1003#469—611no—
1004#469—611no—
1005#468—611no—
1006#468—611no—
1007#466—611no—
1008#466—611no—
1009#466—611no—
1010#466—611no—
1011#465—611no—
1012#465—611no—
1013#465—611no—
1014#465—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#463—611no—
1021#463—611no—
1022#463—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#462—611no—
1028#462—611no—
1029#461—611no—
1030#461—611no—
1031#461—611no—
1032#461—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460C2×D6111yescharacteristic
1038#459—611no—
1039#459—611no—
1040#459—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459C2×D6111yescharacteristic
1045#452—611no—
1046#452—611no—
1047#452—611no—
1048#449—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449C2×D6111yescharacteristic
1058#449C2×D6111yescharacteristic, complemented
1059#448—611no—
1060#448—611no—
1061#447—611no—
1062#447—611no—
1063#446—611no—
1064#446—611no—
1065#442—611no—
1066#442C2×D6111yescharacteristic, complemented
1067#441—611no—
1068#441—611no—
1069#440—611no—
1070#440—611no—
1071#440—611no—
1072#440C2×D6111yescharacteristic
1073C4×Q16—611no—
1074C4×SD16—611no—
1075C4×SD16C2×D6111yescharacteristic, complemented
1076C4×D8C2×D6111yescharacteristic
1077#435—611no—
1078#435—611no—
1079#435—611no—
1080#435—611no—
1081C8×D4—611no—
1082C8×D4—611no—
1083#433—611no—
1084#433C2×D6111yescharacteristic, complemented
1085#432—611no—
1086#424—611no—
1087#424—611no—
1088C2×C4⋊C8—611no—
1089#417—611no—
1090#417—611no—
1091#416—611no—
1092#416—611no—
1093C2×#103—611no—
1094C2×#102—611no—
1095C61#6201411yescharacteristic, complemented, Sylow
1096C2×#41—611no—
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—611no—
1102C2×#41—1221no—
1103C2×#41—1221no—
1104C2×#41—1221no—
1105C2×#41C22×D6111yescharacteristic
1106C22×Q8—611no—
1107C22×D4—611no—
1108#137—2442no—
1109AGL(1,ℤ/8)—2442no—
1110#135—2442no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16—611no—
1127C2×SD16C22×D6111yescharacteristic
1128C2×SD16C22×D6111yescharacteristic
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8C22×D6111yescharacteristic
1137C2×D8C22×D6111yescharacteristic
1138C2×M16—611no—
1139C2×M16—611no—
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C4⋊Q8—611no—
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—1221no—
1148#127—611no—
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—1221no—
1153#127—1221no—
1154#127—1221no—
1155#127—1221no—
1156#127C22×D6111yescharacteristic
1157#126—611no—
1158#126—611no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#125—611no—
1167#125—611no—
1168#125—611no—
1169#125—1221no—
1170#125—1221no—
1171#125—1221no—
1172#125—1221no—
1173#125C22×D6111yescharacteristic
1174#124—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#123—21no—
1185#123—21no—
1186#123—611no—
1187#123—611no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215#121—21no—
1216#121—21no—
1217#121—611no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121C22×D6111yescharacteristic
1253#121C22×D6111yescharacteristic
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—1221no—
1265C4×Q8C22×D6111yescharacteristic
1266C4×Q8C22×D6111yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4C22×D6111yescharacteristic
1295C4×D4C22×D6111yescharacteristic
1296C4×D4C22×D6111yescharacteristic
1297C4×D4C22×D6111yescharacteristic
1298#117—21no—
1299#117—611no—
1300#117—611no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117C22×D6111yescharacteristic
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4—611no—
1308C2×C4⋊C4—1221no—
1309C2×C4⋊C4—1221no—
1310C2×C4⋊C4C22×D6111yescharacteristic
1311C2×C22⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C42—611no—
1314C2×C42—1221no—
1315#107—611no—
1316#107—611no—
1317#107C22×D6111yescharacteristic
1318#107C22×D6111yescharacteristic
1319#106—611no—
1320#106—611no—
1321#106C22×D6111yescharacteristic
1322#106C22×D6111yescharacteristic
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8C22×D6111yescharacteristic
1332C4⋊C8C22×D6111yescharacteristic
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103C22×D6111yescharacteristic
1346#103C22×D6111yescharacteristic
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102C22×D6111yescharacteristic
1360#102C22×D6111yescharacteristic
1361#102C22×D6111yescharacteristic
1362#102C22×D6111yescharacteristic
1363#102C22×D6111yescharacteristic
1364#102C22×D6111yescharacteristic
1365C22⋊C8—611no—
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8C22×D6111yescharacteristic
1370C22⋊C8C22×D6111yescharacteristic
1371#97—611no—
1372#97—611no—
1373#97—611no—
1374#97C22×D6111yescharacteristic
1375C4×C8—611no—
1376C4×C8C22×D6111yescharacteristic
1377C24—1221no—
1378#41—22no—
1379#41—41no—
1380#41—1222no—
1381#41—1222no—
1382#41—4882no—
1383#41—4882no—
1384#41—4882no—
1385#41—2441no—
1386#41—2441no—
1387#41—2441no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394#41—2441no—
1395C2×Q8—611no—
1396C2×Q8—611no—
1397C2×Q8—611no—
1398C2×Q8—611no—
1399C2×Q8—1221no—
1400C2×Q8—1221no—
1401C2×Q8—2441no—
1402C2×Q8—2441no—
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4C23×D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—611no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4—1221no—
1465C22×C4C23×D6111yescharacteristic
1466Q16—1222no—
1467Q16—1222no—
1468Q16—1222no—
1469SD16—22no—
1470SD16—22no—
1471SD16—1222no—
1472SD16—2441no—
1473SD16—2441no—
1474SD16—2441no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—41no—
1482D8—41no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489D8—2441no—
1490M16—2441no—
1491M16—2441no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—2441no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8—2441no—
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C2×C8C23×D6111yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4D4×D6111yescharacteristic
1538C4⋊C4D4×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C4⋊C4C23×D6111yescharacteristic
1541C4⋊C4C23×D6111yescharacteristic
1542C4⋊C4C23×D6111yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4D4×D6111yescharacteristic
1584C22⋊C4D4×D6111yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—611no—
1591C42—1221no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42C23×D6111yescharacteristic
1598C42C23×D6111yescharacteristic
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—611no—
1603C23—611no—
1604C23—1221no—
1605C23—1221no—
1606C23—1221no—
1607C23—4881no—
1608C23—4881no—
1609C23—4881no—
1610C23C2×D4×D6111yescharacteristic
1611Q8—21no—
1612Q8—1221no—
1613Q8—1221no—
1614Q8—1221no—
1615Q8—1221no—
1616Q8—1221no—
1617Q8—1221no—
1618Q8—4881no—
1619Q8—2441no—
1620Q8—2442no—
1621Q8#1451982312yes—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—42no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—1221no—
1634D4—1221no—
1635D4—1221no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—4881no—
1640D4—4881no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—2441no—
1659D4—2442no—
1660D4—2442no—
1661D4—2441no—
1662D4—2441no—
1663D4—2442no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—42no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—611no—
1678C2×C4—611no—
1679C2×C4—611no—
1680C2×C4—611no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—4881no—
1693C2×C4—4881no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—2441no—
1703C2×C4—2441no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4C2×D4×D6111yescharacteristic
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C24×D6111yescharacteristic
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—1221no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—1221no—
1734C22—1221no—
1735C22—1221no—
1736C22—1221no—
1737C22—1221no—
1738C22—1221no—
1739C22—9762no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22C22×D4×D6111yescharacteristic
1750C4—21no—
1751C4—22no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—1221no—
1761C4—1221no—
1762C4—1221no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4C2×#1451982311yescharacteristic
1772C4#1684059811yescharacteristic
1773C2—41no—
1774C2—81no—
1775C2—81no—
1776C2—81no—
1777C2—4881no—
1778C2—4881no—
1779C2—4881no—
1780C2—2441no—
1781C2—2441no—
1782C2#2145948011yescharacteristic
1783C2#2146059111yescharacteristic
1784C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3119C2
socleC22×C61C23×D4
hypercenter#3119D61
hypocenterC61#62014
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #21460409C2semidirect
2. #21459819C2semidirect
3. #21458862C2semidirect
4. #21458837C2semidirect
5. #21458662C2semidirect
6. #21458583C2semidirect
7. #21457828C2semidirect
8. #21457808C2semidirect
9. #21457800C2semidirect
10. #21457783C2semidirect
11. #21457719C2semidirect
12. #21457674C2semidirect
13. #21457572C2semidirect
14. #21457550C2semidirect
15. #21457402C2semidirect
16. #21457402C2semidirect
17. #21457361C2semidirect
18. #21457352C2semidirect
19. #21457267C2semidirect
20. #21457254C2semidirect
21. #21457144C2semidirect
22. #21456882C2semidirect
23. #21456868C2semidirect
24. #21456812C2semidirect
25. #21456040C2semidirect
26. #21455935C2semidirect
27. #21455369C2semidirect
28. #21455355C2semidirect
29. #21455269C2semidirect
30. #21454953C2semidirect
31. C61×#3119C2semidirect
32. C2×#14519807C22semidirect
36. C2×#14519798C22semidirect
41. #16840488C22semidirect
47. #16840460C22semidirect
51. #16840433C22semidirect
53. #16840431C22semidirect
64. #16840367C22semidirect
75. #16840309C22semidirect
80. C4×#11758226C22semidirect
84. #16840150C22semidirect
86. #16840135C22semidirect
87. #16840131C22semidirect
90. #16840120C22semidirect
93. #16840106C22semidirect
97. #16840072C22semidirect
98. #16840068C22semidirect
100. #16840062C22semidirect
101. #16840059C22semidirect
102. #16840059C22semidirect
103. #16840056C22semidirect
106. #16840013C22semidirect
112. #16839996C22semidirect
114. #16839992C22semidirect
116. #16839990C22semidirect
121. #16839982C22semidirect
128. #16839976C22semidirect
129. #16839972C22semidirect
130. #16839972C22semidirect
131. #16839968C22semidirect
132. #16839968C22semidirect
133. #16839967C22semidirect
134. #16839967C22semidirect
135. #16839961C22semidirect
136. #16839961C22semidirect
137. #16839961C22semidirect
140. #16839957C22semidirect
147. #16839927C22semidirect
153. #16839908C22semidirect
156. #16839904C22semidirect
157. #16839903C22semidirect
158. #16839903C22semidirect
161. #16839892C22semidirect
162. #16839890C22semidirect
164. #16839866C22semidirect
165. #16839866C22semidirect
167. #16839861C22semidirect
168. #16839861C22semidirect
169. #16839854C22semidirect
170. #16839849C22semidirect
172. #16839836C22semidirect
176. #16839825C22semidirect
178. #16839818C22semidirect
179. #16839789C22semidirect
181. C4⋊C8×D61C22semidirect
185. #16839755C22semidirect
186. C2×#14519700C22semidirect
189. C61×#520C22semidirect
191. C61×#480C22semidirect
192. C61×#479C22semidirect
193. C61×#478C22semidirect
197. C61×#449C22semidirect
198. C61×#442C22semidirect
200. C4×SD16×C61C22semidirect
202. C61×#433C22semidirect
906. #3119D61semidirect
973. #520C2×D61semidirect
992. #480C2×D61semidirect
995. #479C2×D61semidirect
1000. #478C2×D61semidirect
1058. #449C2×D61semidirect
1066. #442C2×D61semidirect
1075. C4×SD16C2×D61semidirect
1084. #433C2×D61semidirect
1095. C61#62014semidirect

Maximal subgroups

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

subgroupindex
#214604092
#214598192
#214588622
#214588372
#214586622
#214585832
#214578282
#214578082
#214578002
#214577832
#214577192
#214576742
#214575722
#214575502
#214574022
#214573612
#214573522
#214572672
#214572542
#214571442
#214568822
#214568682
#214568122
#214560402
#214559352
#214553692
#214553552
#214552692
#214549532
C61×#31192
#6201461