Finite Group Databasebeta

← #30572151

Subgroups — #30572151

Order 15616.

1942 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459687C211yesmaximal, characteristic, complemented
2#21459370C211yesmaximal, characteristic, complemented
3#21458818C211yesmaximal, characteristic, complemented
4#21458812C211yesmaximal, characteristic, complemented
5#21458480C211yesmaximal, characteristic, complemented
6#21458474C211yesmaximal, characteristic, complemented
7#21457764C211yesmaximal, characteristic, complemented
8#21457762C211yesmaximal, characteristic, complemented
9#21457660C211yesmaximal, characteristic, complemented
10#21457658C211yesmaximal, characteristic, complemented
11#21457656C211yesmaximal, characteristic, complemented
12#21457654C211yesmaximal, characteristic, complemented
13#21457547C211yesmaximal, characteristic, complemented
14#21457543C211yesmaximal, characteristic, complemented
15#21457504C211yesmaximal, characteristic, complemented
16#21457500C211yesmaximal, characteristic, complemented
17#21457497C211yesmaximal, characteristic, complemented
18#21457160C211yesmaximal, characteristic, complemented
19#21457142C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21456792C211yesmaximal, characteristic, complemented
22#21456790C211yesmaximal, characteristic, complemented
23#21456758C211yesmaximal, characteristic, complemented
24#21455875C211yesmaximal, characteristic, complemented
25#21455872C211yesmaximal, characteristic, complemented
26#21455822C211yesmaximal, characteristic, complemented
27#21455271C211yesmaximal, characteristic, complemented
28#21455270C211yesmaximal, characteristic, complemented
29C2×#16839955C211yesmaximal, characteristic, complemented
30#21454926C211yesmaximal, characteristic, complemented
31C61×#3280C211yesmaximal, characteristic, complemented
32C2×#14519798C2211yescharacteristic, complemented
33C2×#14519797C2211yescharacteristic, complemented
34C2×#14519796C2211yescharacteristic, complemented
35C22×#11758199C2211yescharacteristic
36#16840496—21no—
37#16840495C2211yescharacteristic, complemented
38#16840494C2211yescharacteristic, complemented
39#16840481C2211yescharacteristic, complemented
40#16840476C2211yescharacteristic, complemented
41#16840471C2211yescharacteristic, complemented
42#16840455—21no—
43#16840454C2211yescharacteristic
44#16840452C2211yescharacteristic
45#16840449—21no—
46#16840443—21no—
47#16840438—21no—
48#16840431C2211yescharacteristic, complemented
49#16840430—21no—
50#16840430C2211yescharacteristic, complemented
51#16840411C2211yescharacteristic, complemented
52#16840408C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840406C2211yescharacteristic
55#16840403C2211yescharacteristic
56#16840402—21no—
57#16840399—21no—
58#16840364—21no—
59#16840362—21no—
60#16840327—21no—
61#16840314C2211yescharacteristic
62#16840314C2211yescharacteristic
63#16840311C2211yescharacteristic, complemented
64#16840309C2211yescharacteristic, complemented
65#16840308C2211yescharacteristic, complemented
66#16840307C2211yescharacteristic, complemented
67C2×#14519773C2211yescharacteristic
68#16840293—21no—
69#16840293C2211yescharacteristic, complemented
70#16840291C2211yescharacteristic, complemented
71#16840289—21no—
72#16840268—21no—
73#16840235—21no—
74#41×Dic61C2211yescharacteristic, complemented
75C4×#11758224C2211yescharacteristic
76C4×#11758224C2211yescharacteristic, complemented
77C2×D4×Dic61C2211yescharacteristic
78C2×#14519733—21no—
79#16840145C2211yescharacteristic, complemented
80#16840144C2211yescharacteristic, complemented
81#16840143C2211yescharacteristic, complemented
82#16840133C2211yescharacteristic, complemented
83#16840133C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840117C2211yescharacteristic, complemented
86#16840116C2211yescharacteristic, complemented
87#16840115C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840093C2211yescharacteristic
91#16840090C2211yescharacteristic
92#16840089C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic, complemented
96#16840065C2211yescharacteristic, complemented
97#16840064C2211yescharacteristic, complemented
98#16840063C2211yescharacteristic, complemented
99#16840062C2211yescharacteristic, complemented
100#16840056C2211yescharacteristic, complemented
101#16840056C2211yescharacteristic, complemented
102#16840055C2211yescharacteristic, complemented
103#16840055C2211yescharacteristic, complemented
104#16840050C2211yescharacteristic, complemented
105#16840050C2211yescharacteristic, complemented
106#16840003C2211yescharacteristic
107#16840001C2211yescharacteristic
108#16840001C2211yescharacteristic
109#16839997C2211yescharacteristic, complemented
110#16839996C2211yescharacteristic, complemented
111#16839995C2211yescharacteristic, complemented
112#16839994C2211yescharacteristic, complemented
113#16839991C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic, complemented
115#16839988C2211yescharacteristic, complemented
116#16839986C2211yescharacteristic, complemented
117#16839985C2211yescharacteristic, complemented
118#16839982C2211yescharacteristic, complemented
119#16839981C2211yescharacteristic, complemented
120#16839979C2211yescharacteristic, complemented
121#16839977C2211yescharacteristic, complemented
122#16839976C2211yescharacteristic, complemented
123#16839975C2211yescharacteristic, complemented
124#16839975C2211yescharacteristic, complemented
125#16839974C2211yescharacteristic, complemented
126#16839971C2211yescharacteristic, complemented
127#16839971C2211yescharacteristic, complemented
128#16839970C2211yescharacteristic, complemented
129#16839970C2211yescharacteristic, complemented
130#16839965C2211yescharacteristic, complemented
131#16839965C2211yescharacteristic, complemented
132#16839961C2211yescharacteristic, complemented
133#16839961C2211yescharacteristic, complemented
134#16839960C2211yescharacteristic, complemented
135#16839960C2211yescharacteristic, complemented
136#16839955C2211yescharacteristic
137#16839955C2211yescharacteristic
138#16839955C2211yescharacteristic
139#16839955C2211yescharacteristic
140#16839955C2211yescharacteristic
141#16839955C2211yescharacteristic
142#16839955C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839926C2211yescharacteristic, complemented
145#16839924C2211yescharacteristic, complemented
146#16839923C2211yescharacteristic, complemented
147#16839921C2211yescharacteristic, complemented
148#16839915C2211yescharacteristic
149#16839913C2211yescharacteristic
150#16839913C2211yescharacteristic
151#16839912C2211yescharacteristic
152#16839908C2211yescharacteristic, complemented
153#16839907C2211yescharacteristic, complemented
154#16839906C2211yescharacteristic, complemented
155#16839905C2211yescharacteristic, complemented
156#16839904C2211yescharacteristic, complemented
157#16839904C2211yescharacteristic, complemented
158C8×Dic122C2211yescharacteristic, complemented
159#16839886C2211yescharacteristic, complemented
160#16839853C2211yescharacteristic, complemented
161#16839853C2211yescharacteristic, complemented
162C4×#11758190C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic, complemented
164SD16×Dic61C2211yescharacteristic, complemented
165SD16×Dic61C2211yescharacteristic, complemented
166C4×#11758200C2211yescharacteristic, complemented
167#16839847C2211yescharacteristic, complemented
168D8×Dic61C2211yescharacteristic, complemented
169C4×#11758199C2211yescharacteristic, complemented
170#16839842C2211yescharacteristic, complemented
171D4×#92418C2211yescharacteristic
172C8×C22⋊D61C2211yescharacteristic
173C8×C22⋊D61C2211yescharacteristic, complemented
174#16839825C2211yescharacteristic
175#16839825C2211yescharacteristic, complemented
176#16839813C2211yescharacteristic, complemented
177#16839812C2211yescharacteristic
178#16839812C2211yescharacteristic, complemented
179C2×#14519706C2211yescharacteristic
180C2×#14519706C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839759C2211yescharacteristic, complemented
183#16839758C2211yescharacteristic, complemented
184#16839757C2211yescharacteristic, complemented
185#16839755C2211yescharacteristic, complemented
186C2×#14519699C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C2×#135×C61C2211yescharacteristic, complemented
189C22×D8×C61C2211yescharacteristic
190C61×#546C2211yescharacteristic
191C61×#546C2211yescharacteristic
192C61×#495C2211yescharacteristic, complemented
193C61×#467C2211yescharacteristic
194C61×#466C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#450C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#449C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C8×D4×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224D411yescharacteristic
208C2×#11758224C2311yescharacteristic
209C2×#11758224C2311yescharacteristic
210C22×D244C2311yescharacteristic
211C22×C22⋊D61—21no—
212C22×C22⋊D61—21no—
213C23×Dic61—21no—
214#14519798—42no—
215#14519797—42no—
216#14519796—42no—
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758190C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758199—42no—
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C22×#92418C2311yescharacteristic
234C22×#92418C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519775C2311yescharacteristic
240#14519775C2311yescharacteristic
241#14519773—21no—
242#14519773—21no—
243#14519773—21no—
244#14519773—21no—
245#14519773C2311yescharacteristic
246#14519773C2311yescharacteristic
247#14519773C2311yescharacteristic
248#14519773C2311yescharacteristic
249#14519772—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519769C2311yescharacteristic
256#14519768—21no—
257#14519768C2311yescharacteristic
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519766C2311yescharacteristic
262#14519765C2311yescharacteristic
263#14519764—21no—
264#14519764C2311yescharacteristic
265#14519764C2311yescharacteristic
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519762—21no—
272#14519762—21no—
273#14519761—21no—
274#14519761—21no—
275#14519760—21no—
276#14519760—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519758—21no—
281#14519758—21no—
282#14519758—21no—
283#14519758—21no—
284#14519758—21no—
285#14519756—21no—
286#14519756C2311yescharacteristic
287#14519756C2311yescharacteristic
288#14519756C2311yescharacteristic
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519753C2311yescharacteristic
295#14519752—21no—
296#14519752C2311yescharacteristic
297#14519751—21no—
298#14519751C2311yescharacteristic
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519748—21no—
313#14519748C2311yescharacteristic
314#14519748C2311yescharacteristic
315#14519747—21no—
316#14519746—21no—
317#14519746—21no—
318#14519745—21no—
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321Q8×Dic61C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324#14519742—21no—
325#14519742—21no—
326#14519742D411yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329C4×D244C2311yescharacteristic
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61D411yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342#14519739C2311yescharacteristic
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61C2311yescharacteristic
350C4×C22⋊D61C2311yescharacteristic
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737D411yescharacteristic
359#14519737D411yescharacteristic
360#14519736—21no—
361#14519736C2311yescharacteristic
362#14519735D411yescharacteristic
363#14519735C2311yescharacteristic
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368#14519733—21no—
369#14519733—21no—
370#14519733—21no—
371#14519733—21no—
372#14519733—21no—
373#14519733D411yescharacteristic
374#14519733D411yescharacteristic
375C2×C4⋊Dic61C2311yescharacteristic
376C2×#11758196—21no—
377C2×#11758196—21no—
378C2×C22⋊Dic61—21no—
379C2×C22⋊Dic61—21no—
380C2×C22⋊Dic61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C2×C4×Dic61—21no—
384C2×C4×Dic61—21no—
385C2×C4×Dic61C2311yescharacteristic
386C2×C4×Dic61C2311yescharacteristic
387C42×D61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C22×D4×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443#135×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×D8×C61—42no—
450C2×D8×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C22×C8×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#123×C61—21no—
459#123×C61—21no—
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463#121×C61—21no—
464#121×C61C2311yescharacteristic
465#121×C61C2311yescharacteristic
466#120×C61—21no—
467#120×C61—21no—
468C4×D4×C61C2311yescharacteristic
469C4×D4×C61C2311yescharacteristic
470C4×D4×C61C2311yescharacteristic
471C2×C22⋊C4×C61—21no—
472C2×C22⋊C4×C61—21no—
473#107×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C24×C61—21no—
486C23×D61—21no—
487#41×C61—22no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—22no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—41no—
501C2×D4×C61—41no—
502C2×D4×C61—41no—
503C2×D4×C61C2×D411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61C2411yescharacteristic
513C22×C4×C61C2411yescharacteristic
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—44no—
529C2×C22⋊D61—82no—
530C2×C22⋊D61C2×D411yescharacteristic
531C2×C22⋊D61C2×D411yescharacteristic
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61—21no—
540C22×Dic61—21no—
541C22×Dic61—44no—
542C22×Dic61C2×D411yescharacteristic
543C22×Dic61C2×D411yescharacteristic
544C22×Dic61C2×D411yescharacteristic
545C22×Dic61C2×D411yescharacteristic
546#11758226—41no—
547#11758226—41no—
548#11758224—24no—
549#11758224—22no—
550#11758224—41no—
551#11758224—41no—
552#11758224—41no—
553#11758224—82no—
554#11758222—41no—
555#11758222—41no—
556#11758222—82no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244—21no—
560C2×D244—41no—
561C2×D244—41no—
562C2×D244C2411yescharacteristic
563C2×D244C2411yescharacteristic
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61C2×D411yescharacteristic
569C2×C4×D61C2×D411yescharacteristic
570C2×C4×D61C2411yescharacteristic
571C2×Dic122—21no—
572C2×Dic122—21no—
573C2×Dic122C2×D411yescharacteristic
574C2×Dic122C2411yescharacteristic
575C2×Dic122C2411yescharacteristic
576Q16×C61—41no—
577SD16×C61—22no—
578SD16×C61—41no—
579SD16×C61—41no—
580SD16×C61—41no—
581D8×C61—22no—
582D8×C61—22no—
583D8×C61—41no—
584D8×C61—41no—
585C2×C8×C61—41no—
586C2×C8×C61—41no—
587C2×C8×C61C2411yescharacteristic
588C2×C8×C61C2411yescharacteristic
589C2×C8×C61C2411yescharacteristic
590C2×C8×C61C2411yescharacteristic
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61C2×D411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C4⋊C4×C61C2411yescharacteristic
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61—21no—
605C22⋊C4×C61—21no—
606C22⋊C4×C61C2×D411yescharacteristic
607C22⋊C4×C61C2×D411yescharacteristic
608C42×C61C2411yescharacteristic
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61—21no—
619C22⋊Dic61—21no—
620C22⋊Dic61—21no—
621C22⋊Dic61—21no—
622C22⋊Dic61—21no—
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625C22⋊Dic61C2×D411yescharacteristic
626C22⋊Dic61C2×D411yescharacteristic
627#11758202—41no—
628#11758202—41no—
629#11758201—41no—
630#11758201—41no—
631#11758200—22no—
632#11758200—41no—
633#11758200—41no—
634#11758200—41no—
635#11758199—22no—
636#11758199—22no—
637#11758199—41no—
638#11758199—41no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61C2×D411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
659C4⋊Dic61C2411yescharacteristic
660C4⋊Dic61C2411yescharacteristic
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
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#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
680#11758196C2×D411yescharacteristic
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61C2×D411yescharacteristic
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2×D411yescharacteristic
693C4×Dic61C2×D411yescharacteristic
694C4×Dic61C2×D411yescharacteristic
695C4×Dic61C2411yescharacteristic
696C4×Dic61C2411yescharacteristic
697C4×Dic61C2411yescharacteristic
698C2×#92418—41no—
699C2×#92418—41no—
700C2×#92418C2411yescharacteristic
701C2×#92418C2411yescharacteristic
702C2×#92418C2411yescharacteristic
703C2×#92418C2411yescharacteristic
704Dic244—41no—
705#11758190—41no—
706#11758190—41no—
707C8×D61—41no—
708C8×D61—41no—
709C23×C61—21no—
710C23×C61—21no—
711C23×C61—21no—
712C23×C61—21no—
713C23×C61—42no—
714C23×C61—42no—
715C23×C61—42no—
716C23×C61—81no—
717C23×C61—81no—
718C23×C61—81no—
719C23×C61C22×D411yescharacteristic
720C23×C61C22×D411yescharacteristic
721C22×D61—21no—
722C22×D61—21no—
723C22×D61—42no—
724C22×D61—81no—
725C22×D61—81no—
726C22×D61C22×D411yescharacteristic
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—21no—
730Q8×C61—21no—
731D4×C61—22no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—21no—
737D4×C61—21no—
738D4×C61—21no—
739D4×C61—42no—
740D4×C61—42no—
741D4×C61—81no—
742D4×C61—81no—
743D4×C61—81no—
744D4×C61—81no—
745D4×C61H(5,𝔽2)12yes—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—42no—
755C2×C4×C61—81no—
756C2×C4×C61—81no—
757C2×C4×C61—81no—
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C22×D411yescharacteristic
761C2×C4×C61C22×D411yescharacteristic
762C2×C4×C61C2511yescharacteristic
763C22⋊D61—22no—
764C22⋊D61—22no—
765C22⋊D61—42no—
766C22⋊D61—42no—
767C22⋊D61—42no—
768C22⋊D61—42no—
769C22⋊D61—42no—
770C22⋊D61—42no—
771C22⋊D61—42no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C22⋊D61—81no—
775C22⋊D61—81no—
776C22⋊D61—81no—
777C22⋊D61—81no—
778C22⋊D61—81no—
779C2×Dic61—22no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—41no—
787C2×Dic61—41no—
788C2×Dic61—42no—
789C2×Dic61—42no—
790C2×Dic61—42no—
791C2×Dic61—42no—
792C2×Dic61—42no—
793C2×Dic61—42no—
794C2×Dic61—81no—
795C2×Dic61—81no—
796C2×Dic61—81no—
797C2×Dic61#13514yescomplemented
798C2×Dic61C22×D411yescharacteristic
799C2×Dic61C22×D411yescharacteristic
800C2×Dic61C22×D411yescharacteristic
801C2×Dic61C22×D411yescharacteristic
802C2×Dic61C22×D411yescharacteristic
803C2×Dic61C22×D411yescharacteristic
804C2×Dic61C22×D411yescharacteristic
805D244—21no—
806D244—21no—
807D244—21no—
808D244—21no—
809D244—81no—
810D244—81no—
811D244—81no—
812C4×D61—21no—
813C4×D61—21no—
814C4×D61—22no—
815C4×D61—41no—
816C4×D61—81no—
817C4×D61—81no—
818C4×D61—81no—
819C4×D61—81no—
820Dic122—22no—
821Dic122—21no—
822Dic122—21no—
823Dic122—21no—
824Dic122—21no—
825Dic122—42no—
826Dic122—81no—
827C8×C61—21no—
828C8×C61—21no—
829C8×C61—21no—
830C8×C61—21no—
831#92418—21no—
832#92418—21no—
833#92418—21no—
834#92418—21no—
835#61949—611nomaximal, Sylow
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—22no—
840C22×C61—21no—
841C22×C61—21no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—84no—
854C22×C61—162no—
855C22×C61C2×#13512yes—
856C22×C61C23×D411yescharacteristic
857C2×D61—21no—
858C2×D61—21no—
859C2×D61—21no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—162no—
867C4×C61—21no—
868C4×C61—21no—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61C2×H(5,𝔽2)11yescharacteristic
876C4×C61#58511yescharacteristic
877Dic61—21no—
878Dic61—21no—
879Dic61—21no—
880Dic61—21no—
881Dic61—21no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61C2×#13512yes—
889Dic61C2×#13512yes—
890#3508—611no—
891#3475—611no—
892#3394—611no—
893#3394—611no—
894#3361—611no—
895#3361—611no—
896#3305—611no—
897#3305—611no—
898#3296—611no—
899#3296—611no—
900#3296—611no—
901#3296—611no—
902#3284—611no—
903#3284—611no—
904#3280—611no—
905#3280—611no—
906#3280—611no—
907#3280D6111yescharacteristic, complemented
908#3249—611no—
909#3247—611no—
910#3247—611no—
911#3212—611no—
912#3212—611no—
913#3208—611no—
914#3106—611no—
915#3106—611no—
916#3101—611no—
917#3035—611no—
918#3035—611no—
919C2×#459—611no—
920#2988—611no—
921C2×C61—22no—
922C2×C61—41no—
923C2×C61—42no—
924C2×C61—81no—
925C2×C61—81no—
926C2×C61—81no—
927C2×C61#348811yescharacteristic
928C2×C61C22×#13511yescharacteristic
929C2×C61#358511yescharacteristic
930D61—41no—
931D61—81no—
932D61—81no—
933C2×#135—611no—
934C2×#135—611no—
935C2×#135—611no—
936C2×#135C2×D6111yescharacteristic, complemented
937C22×D8—611no—
938C22×D8C2×D6111yescharacteristic
939#559—611no—
940#559—611no—
941#559—1221no—
942#556—611no—
943#555—611no—
944#554—611no—
945#553—1221no—
946#552—611no—
947#552—611no—
948#552—1221no—
949#551—1221no—
950#551—1221no—
951#550—611no—
952#550—611no—
953#550—1221no—
954#547—611no—
955#546—611no—
956#546—611no—
957#546—611no—
958#546—611no—
959#546—1221no—
960#546—1221no—
961#546C2×D6111yescharacteristic
962#546C2×D6111yescharacteristic
963#540—1221no—
964#540—1221no—
965#535—1221no—
966#533—611no—
967#533—611no—
968#532—611no—
969#532—611no—
970#532—611no—
971#532—611no—
972C2×#127—611no—
973#529—611no—
974#529—611no—
975#529—1221no—
976#529—1221no—
977#525—1221no—
978#518—1221no—
979C4×#41—611no—
980C4×#41—611no—
981C4×#41—611no—
982C2×C4×D4—611no—
983C2×#117—1221no—
984#495—611no—
985#495—611no—
986#495—611no—
987#495C2×D6111yescharacteristic, complemented
988#492—611no—
989#492—611no—
990#488—611no—
991#488—611no—
992#488—611no—
993#488—611no—
994#486—611no—
995#486—611no—
996#483—611no—
997#483—611no—
998#482—611no—
999#482—611no—
1000#482—611no—
1001#482—611no—
1002#478—611no—
1003#478—611no—
1004#478—611no—
1005#478—611no—
1006#477—611no—
1007#477—611no—
1008#477—611no—
1009#477—611no—
1010#476—611no—
1011#476—611no—
1012#467—611no—
1013#467—611no—
1014#467—611no—
1015#467C2×D6111yescharacteristic
1016#466—611no—
1017#466—611no—
1018#466—611no—
1019#466C2×D6111yescharacteristic, complemented
1020#465—611no—
1021#465—611no—
1022#465—611no—
1023#465—611no—
1024#464—611no—
1025#464—611no—
1026#464—611no—
1027#464—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#463—611no—
1033#463—611no—
1034#463C2×D6111yescharacteristic, complemented
1035#463C2×D6111yescharacteristic, complemented
1036#462—611no—
1037#462—611no—
1038#462—611no—
1039#462—611no—
1040#461—611no—
1041#461—611no—
1042#460—611no—
1043#460—611no—
1044#460—611no—
1045#460—611no—
1046#459—611no—
1047#459—611no—
1048#459—611no—
1049#459—611no—
1050#459—611no—
1051#459—611no—
1052#459—611no—
1053#459—611no—
1054#452—611no—
1055#452—611no—
1056#452—611no—
1057#452—611no—
1058#450—611no—
1059#450—611no—
1060#450—611no—
1061#450—611no—
1062#450C2×D6111yescharacteristic
1063#450C2×D6111yescharacteristic
1064#449—611no—
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#449—611no—
1069#449—611no—
1070#449C2×D6111yescharacteristic, complemented
1071#449C2×D6111yescharacteristic, complemented
1072C8×Q8—611no—
1073C8×Q8—611no—
1074C4×SD16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16—611no—
1078C4×SD16—611no—
1079C4×SD16—611no—
1080C4×SD16—611no—
1081C4×SD16—611no—
1082C4×D8—611no—
1083C4×D8—611no—
1084C4×D8—611no—
1085C4×D8C2×D6111yescharacteristic, complemented
1086C8×D4—611no—
1087C8×D4—611no—
1088C8×D4—611no—
1089C8×D4—611no—
1090C8×D4—611no—
1091C8×D4C2×D6111yescharacteristic
1092#431—611no—
1093#431—611no—
1094#431—611no—
1095C2×C4⋊C8—611no—
1096C2×C4⋊C8—611no—
1097C2×C4⋊C8—611no—
1098#416—611no—
1099#416—611no—
1100#416—611no—
1101#416—611no—
1102C2×#102—611no—
1103C2×#102—611no—
1104C61#6194911yescharacteristic, complemented, Sylow
1105C2×#41—611no—
1106C2×#41—611no—
1107C2×#41—611no—
1108C2×#41—611no—
1109C2×#41—611no—
1110C2×#41—1221no—
1111C2×#41—1221no—
1112C2×#41C22×D6111yescharacteristic
1113C2×#41C22×D6111yescharacteristic
1114C22×D4—611no—
1115C22×D4—1221no—
1116C22×D4—1221no—
1117C22×D4C22×D6111yescharacteristic
1118C22×D4C22×D6111yescharacteristic
1119C23×C4—1221no—
1120#135—42no—
1121#135—2442no—
1122#135—2442no—
1123#135—2442no—
1124C2×Q16—611no—
1125C2×Q16—611no—
1126C2×Q16—611no—
1127C2×Q16C22×D6111yescharacteristic
1128C2×SD16—611no—
1129C2×SD16—611no—
1130C2×SD16—611no—
1131C2×SD16—611no—
1132C2×SD16—611no—
1133C2×SD16—611no—
1134C2×SD16—611no—
1135C2×SD16—611no—
1136C2×SD16C22×D6111yescharacteristic
1137C2×SD16C22×D6111yescharacteristic
1138C2×SD16C22×D6111yescharacteristic
1139C2×SD16C22×D6111yescharacteristic
1140C2×D8—42no—
1141C2×D8—611no—
1142C2×D8—611no—
1143C2×D8—611no—
1144C2×D8—611no—
1145C2×D8—2442no—
1146C2×D8C22×D6111yescharacteristic
1147C2×D8C22×D6111yescharacteristic
1148C2×D8C22×D6111yescharacteristic
1149C2×D8C22×D6111yescharacteristic
1150C22×C8—611no—
1151C22×C8—611no—
1152C22×C8—611no—
1153C22×C8—611no—
1154C22×C8C22×D6111yescharacteristic
1155C22×C8C22×D6111yescharacteristic
1156C4⋊Q8—611no—
1157C4⋊Q8—611no—
1158C4⋊Q8—611no—
1159C4⋊Q8—611no—
1160#127—611no—
1161#127—611no—
1162#127—611no—
1163#127—611no—
1164#127—1221no—
1165#127—1221no—
1166#127—1221no—
1167#127—1221no—
1168#126—1221no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#125—611no—
1175#125—611no—
1176#125—1221no—
1177#125—1221no—
1178#125—1221no—
1179#125—1221no—
1180#124—611no—
1181#124—611no—
1182#124—611no—
1183#124—611no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#124C22×D6111yescharacteristic
1191#124C22×D6111yescharacteristic
1192#123—21no—
1193#123—21no—
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—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8C22×D6111yescharacteristic
1219C22⋊Q8C22×D6111yescharacteristic
1220#121—21no—
1221#121—21no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
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#121C22×D6111yescharacteristic
1243#121C22×D6111yescharacteristic
1244#120—21no—
1245#120—21no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250C4×Q8—611no—
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—1221no—
1259C4×Q8—1221no—
1260C4×D4—611no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1292C4×D4C22×D6111yescharacteristic
1293C4×D4C22×D6111yescharacteristic
1294#117—611no—
1295#117—611no—
1296#117—611no—
1297#117—611no—
1298#117—611no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117—1221no—
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4—1221no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—1221no—
1315C2×C22⋊C4—1221no—
1316C2×C22⋊C4—1221no—
1317C2×C22⋊C4—1221no—
1318C2×C22⋊C4—1221no—
1319C2×C42—611no—
1320C2×C42—611no—
1321C2×C42—611no—
1322C2×C42—1221no—
1323C2×C42—1221no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#107C22×D6111yescharacteristic
1328#106—611no—
1329#106—611no—
1330#106—611no—
1331#106—611no—
1332C4⋊C8—611no—
1333C4⋊C8—611no—
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8—611no—
1338C4⋊C8—611no—
1339C4⋊C8—611no—
1340C4⋊C8—611no—
1341C4⋊C8C22×D6111yescharacteristic
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103C22×D6111yescharacteristic
1353#103C22×D6111yescharacteristic
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102—611no—
1369#102—611no—
1370#102C22×D6111yescharacteristic
1371#102C22×D6111yescharacteristic
1372#102C22×D6111yescharacteristic
1373#102C22×D6111yescharacteristic
1374C22⋊C8—611no—
1375C22⋊C8—611no—
1376C22⋊C8—611no—
1377C22⋊C8—611no—
1378C22⋊C8C22×D6111yescharacteristic
1379C22⋊C8C22×D6111yescharacteristic
1380C4×C8—611no—
1381C4×C8—611no—
1382C4×C8—611no—
1383C4×C8—611no—
1384C4×C8—611no—
1385C4×C8C22×D6111yescharacteristic
1386C24—21no—
1387C24—21no—
1388C24—1221no—
1389#41—22no—
1390#41—41no—
1391#41—41no—
1392#41—41no—
1393#41—1224no—
1394#41—1222no—
1395#41—4882no—
1396#41—4882no—
1397#41—2441no—
1398#41—2441no—
1399#41—2441no—
1400#41—2441no—
1401#41—2441no—
1402#41—2441no—
1403#41—2441no—
1404C2×Q8—611no—
1405C2×Q8—611no—
1406C2×Q8—611no—
1407C2×Q8—1221no—
1408C2×Q8—1221no—
1409C2×Q8C23×D6111yescharacteristic
1410C2×Q8C23×D6111yescharacteristic
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—611no—
1422C2×D4—611no—
1423C2×D4—611no—
1424C2×D4—611no—
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—1221no—
1438C2×D4—1221no—
1439C2×D4—1221no—
1440C2×D4—1221no—
1441C2×D4—1221no—
1442C2×D4—4882no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—2444no—
1446C2×D4D4×D6111yescharacteristic
1447C2×D4C23×D6111yescharacteristic
1448C2×D4C23×D6111yescharacteristic
1449C2×D4C23×D6111yescharacteristic
1450C2×D4C23×D6111yescharacteristic
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—611no—
1456C22×C4—611no—
1457C22×C4—611no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—611no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4—1221no—
1465C22×C4—1221no—
1466C22×C4—1221no—
1467C22×C4—1221no—
1468C22×C4—1221no—
1469C22×C4—1221no—
1470C22×C4—1221no—
1471C22×C4—1221no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—2444no—
1476C22×C4C23×D6111yescharacteristic
1477C22×C4C23×D6111yescharacteristic
1478Q16—41no—
1479Q16—2441no—
1480Q16—2441no—
1481Q16—2441no—
1482SD16—22no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—1222no—
1487SD16—2441no—
1488SD16—2441no—
1489SD16—2441no—
1490SD16—2441no—
1491SD16—2441no—
1492SD16—2441no—
1493SD16—2441no—
1494D8—22no—
1495D8—22no—
1496D8—41no—
1497D8—41no—
1498D8—1222no—
1499D8—1222no—
1500D8—2441no—
1501D8—2441no—
1502C2×C8—41no—
1503C2×C8—41no—
1504C2×C8—611no—
1505C2×C8—611no—
1506C2×C8—611no—
1507C2×C8—611no—
1508C2×C8—2441no—
1509C2×C8—2441no—
1510C2×C8—2441no—
1511C2×C8—2441no—
1512C2×C8C23×D6111yescharacteristic
1513C2×C8C23×D6111yescharacteristic
1514C2×C8C23×D6111yescharacteristic
1515C2×C8C23×D6111yescharacteristic
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
1520C4⋊C4—611no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
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⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4D4×D6111yescharacteristic
1549C4⋊C4C23×D6111yescharacteristic
1550C4⋊C4C23×D6111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—611no—
1562C22⋊C4—611no—
1563C22⋊C4—611no—
1564C22⋊C4—611no—
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⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4D4×D6111yescharacteristic
1592C22⋊C4D4×D6111yescharacteristic
1593C42—611no—
1594C42—611no—
1595C42—611no—
1596C42—611no—
1597C42—611no—
1598C42—611no—
1599C42—611no—
1600C42—611no—
1601C42—611no—
1602C42—1221no—
1603C42—1221no—
1604C42—1221no—
1605C42—1221no—
1606C42—1221no—
1607C42—1221no—
1608C42—1221no—
1609C42—1221no—
1610C42C23×D6111yescharacteristic
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—42no—
1618C23—81no—
1619C23—81no—
1620C23—81no—
1621C23—611no—
1622C23—1221no—
1623C23—1221no—
1624C23—4881no—
1625C23—4881no—
1626C23—2442no—
1627C23C2×D4×D6111yescharacteristic
1628C23C2×D4×D6111yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—21no—
1633Q8—1222no—
1634Q8—1221no—
1635Q8—1221no—
1636Q8—1221no—
1637Q8—1221no—
1638Q8—4881no—
1639Q8—2442no—
1640D4—22no—
1641D4—21no—
1642D4—21no—
1643D4—21no—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—42no—
1649D4—42no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—1222no—
1655D4—1222no—
1656D4—1221no—
1657D4—1221no—
1658D4—1221no—
1659D4—1221no—
1660D4—4881no—
1661D4—4881no—
1662D4—4881no—
1663D4—4881no—
1664D4—4881no—
1665D4—4881no—
1666D4—4881no—
1667D4—4881no—
1668D4—4881no—
1669D4—4881no—
1670D4—2442no—
1671D4—2442no—
1672D4—2442no—
1673D4—2442no—
1674D4—2442no—
1675D4—2442no—
1676D4—2442no—
1677D4#1451982212yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—42no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—614no—
1691C2×C4—611no—
1692C2×C4—611no—
1693C2×C4—611no—
1694C2×C4—611no—
1695C2×C4—611no—
1696C2×C4—611no—
1697C2×C4—611no—
1698C2×C4—1222no—
1699C2×C4—1222no—
1700C2×C4—1221no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—4881no—
1709C2×C4—4881no—
1710C2×C4—4881no—
1711C2×C4—4881no—
1712C2×C4—4881no—
1713C2×C4—4881no—
1714C2×C4—4881no—
1715C2×C4—2441no—
1716C2×C4—2442no—
1717C2×C4—2442no—
1718C2×C4—2442no—
1719C2×C4—2442no—
1720C2×C4—2441no—
1721C2×C4—2441no—
1722C2×C4—2442no—
1723C2×C4—2442no—
1724C2×C4C2×D4×D6111yescharacteristic
1725C2×C4C2×D4×D6111yescharacteristic
1726C2×C4C2×D4×D6111yescharacteristic
1727C2×C4C2×D4×D6111yescharacteristic
1728C2×C4C24×D6111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—1221no—
1734C8—1221no—
1735C8—1221no—
1736C8—1221no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—22no—
1741C22—21no—
1742C22—21no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—84no—
1755C22—162no—
1756C22—1221no—
1757C22—1221no—
1758C22—1221no—
1759C22—9762no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22#135×D6112yes—
1767C22C22×D4×D6111yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—612no—
1777C4—612no—
1778C4—1221no—
1779C4—1221no—
1780C4—1221no—
1781C4—1221no—
1782C4—1221no—
1783C4—2441no—
1784C4—2441no—
1785C4—2441no—
1786C4—2441no—
1787C4—2441no—
1788C4—2441no—
1789C4C2×#1451982211yescharacteristic
1790C4#1684059711yescharacteristic
1791C2—22no—
1792C2—41no—
1793C2—42no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—4881no—
1798C2—4881no—
1799C2—2441no—
1800C2#2145947911yescharacteristic
1801C2C2×#135×D6111yescharacteristic
1802C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3280C2
socleC22×C61C23×D4
hypercenter#3280D61
hypocenterC61#61949
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #21459687C2semidirect
2. #21459370C2semidirect
3. #21458818C2semidirect
4. #21458812C2semidirect
5. #21458480C2semidirect
6. #21458474C2semidirect
7. #21457764C2semidirect
8. #21457762C2semidirect
9. #21457660C2semidirect
10. #21457658C2semidirect
11. #21457656C2semidirect
12. #21457654C2semidirect
13. #21457547C2semidirect
14. #21457543C2semidirect
15. #21457504C2semidirect
16. #21457500C2semidirect
17. #21457497C2semidirect
18. #21457160C2semidirect
19. #21457142C2semidirect
20. #21457138C2semidirect
21. #21456792C2semidirect
22. #21456790C2semidirect
23. #21456758C2semidirect
24. #21455875C2semidirect
25. #21455872C2semidirect
26. #21455822C2semidirect
27. #21455271C2semidirect
28. #21455270C2semidirect
29. C2×#16839955C2semidirect
30. #21454926C2semidirect
31. C61×#3280C2semidirect
32. C2×#14519798C22semidirect
33. C2×#14519797C22semidirect
34. C2×#14519796C22semidirect
37. #16840495C22semidirect
38. #16840494C22semidirect
39. #16840481C22semidirect
40. #16840476C22semidirect
41. #16840471C22semidirect
48. #16840431C22semidirect
50. #16840430C22semidirect
51. #16840411C22semidirect
63. #16840311C22semidirect
64. #16840309C22semidirect
65. #16840308C22semidirect
66. #16840307C22semidirect
69. #16840293C22semidirect
70. #16840291C22semidirect
74. #41×Dic61C22semidirect
76. C4×#11758224C22semidirect
79. #16840145C22semidirect
80. #16840144C22semidirect
81. #16840143C22semidirect
82. #16840133C22semidirect
83. #16840133C22semidirect
84. #16840118C22semidirect
85. #16840117C22semidirect
86. #16840116C22semidirect
87. #16840115C22semidirect
88. #16840107C22semidirect
89. #16840107C22semidirect
92. #16840089C22semidirect
93. #16840087C22semidirect
94. #16840085C22semidirect
95. #16840083C22semidirect
96. #16840065C22semidirect
97. #16840064C22semidirect
98. #16840063C22semidirect
99. #16840062C22semidirect
100. #16840056C22semidirect
101. #16840056C22semidirect
102. #16840055C22semidirect
103. #16840055C22semidirect
104. #16840050C22semidirect
105. #16840050C22semidirect
109. #16839997C22semidirect
110. #16839996C22semidirect
111. #16839995C22semidirect
112. #16839994C22semidirect
113. #16839991C22semidirect
114. #16839989C22semidirect
115. #16839988C22semidirect
116. #16839986C22semidirect
117. #16839985C22semidirect
118. #16839982C22semidirect
119. #16839981C22semidirect
120. #16839979C22semidirect
121. #16839977C22semidirect
122. #16839976C22semidirect
123. #16839975C22semidirect
124. #16839975C22semidirect
125. #16839974C22semidirect
126. #16839971C22semidirect
127. #16839971C22semidirect
128. #16839970C22semidirect
129. #16839970C22semidirect
130. #16839965C22semidirect
131. #16839965C22semidirect
132. #16839961C22semidirect
133. #16839961C22semidirect
134. #16839960C22semidirect
135. #16839960C22semidirect
144. #16839926C22semidirect
145. #16839924C22semidirect
146. #16839923C22semidirect
147. #16839921C22semidirect
152. #16839908C22semidirect
153. #16839907C22semidirect
154. #16839906C22semidirect
155. #16839905C22semidirect
156. #16839904C22semidirect
157. #16839904C22semidirect
158. C8×Dic122C22semidirect
159. #16839886C22semidirect
160. #16839853C22semidirect
161. #16839853C22semidirect
162. C4×#11758190C22semidirect
163. SD16×Dic61C22semidirect
164. SD16×Dic61C22semidirect
165. SD16×Dic61C22semidirect
166. C4×#11758200C22semidirect
167. #16839847C22semidirect
168. D8×Dic61C22semidirect
169. C4×#11758199C22semidirect
170. #16839842C22semidirect
173. C8×C22⋊D61C22semidirect
175. #16839825C22semidirect
176. #16839813C22semidirect
178. #16839812C22semidirect
180. C2×#14519706C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839759C22semidirect
183. #16839758C22semidirect
184. #16839757C22semidirect
185. #16839755C22semidirect
188. C2×#135×C61C22semidirect
192. C61×#495C22semidirect
194. C61×#466C22semidirect
195. C61×#463C22semidirect
196. C61×#463C22semidirect
199. C61×#449C22semidirect
200. C61×#449C22semidirect
201. C4×D8×C61C22semidirect
797. C2×Dic61#135semidirect
907. #3280D61semidirect
936. C2×#135C2×D61semidirect
987. #495C2×D61semidirect
1019. #466C2×D61semidirect
1034. #463C2×D61semidirect
1035. #463C2×D61semidirect
1070. #449C2×D61semidirect
1071. #449C2×D61semidirect
1085. C4×D8C2×D61semidirect
1104. C61#61949semidirect

Maximal subgroups

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

subgroupindex
#214596872
#214593702
#214588182
#214588122
#214584802
#214584742
#214577642
#214577622
#214576602
#214576582
#214576562
#214576542
#214575472
#214575432
#214575042
#214575002
#214574972
#214571602
#214571422
#214571382
#214567922
#214567902
#214567582
#214558752
#214558722
#214558222
#214552712
#214552702
C2×#168399552
#214549262
C61×#32802
#6194961