Finite Group Databasebeta

← #30562458

Subgroups — #30562458

Order 15616.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459827C211yesmaximal, characteristic, complemented
2#21459767C211yesmaximal, characteristic, complemented
3#21458812C211yesmaximal, characteristic, complemented
4SD16×Dic122C211yesmaximal, characteristic, complemented
5#21458628C211yesmaximal, characteristic, complemented
6#21458532C211yesmaximal, characteristic, complemented
7#21458233C211yesmaximal, characteristic, complemented
8#21458227C211yesmaximal, characteristic, complemented
9#21458227C211yesmaximal, characteristic, complemented
10#21458095C211yesmaximal, characteristic, complemented
11#21458054C211yesmaximal, characteristic, complemented
12#21458009C211yesmaximal, characteristic, complemented
13#21458005C211yesmaximal, characteristic, complemented
14#21457859C211yesmaximal, characteristic, complemented
15#21457855C211yesmaximal, characteristic, complemented
16#21457520C211yesmaximal, characteristic, complemented
17SD16×C22⋊D61C211yesmaximal, characteristic, complemented
18#21456433C211yesmaximal, characteristic, complemented
19#21456429C211yesmaximal, characteristic, complemented
20#21456373C211yesmaximal, characteristic, complemented
21#21456049C211yesmaximal, characteristic, complemented
22#21456047C211yesmaximal, characteristic, complemented
23#21456000C211yesmaximal, characteristic, complemented
24#21455996C211yesmaximal, characteristic, complemented
25#21455974C211yesmaximal, characteristic, complemented
26#21455963C211yesmaximal, characteristic, complemented
27#21454787C211yesmaximal, characteristic, complemented
28#21454679C211yesmaximal, characteristic, complemented
29#21454673C211yesmaximal, characteristic, complemented
30#135×Dic61C211yesmaximal, characteristic, complemented
31C61×#3282C211yesmaximal, characteristic, complemented
32C2×SD16×D61C2211yescharacteristic
33#16840494C2211yescharacteristic
34Q8×Dic122C2211yescharacteristic, complemented
35#16840483—21no—
36#16840483C2211yescharacteristic
37#16840483C2211yescharacteristic, complemented
38#16840482—21no—
39#16840482C2211yescharacteristic, complemented
40#16840481—21no—
41#16840481C2211yescharacteristic, complemented
42#16840477C2211yescharacteristic
43#16840476—21no—
44#16840476C2211yescharacteristic
45#16840476C2211yescharacteristic
46#16840438—21no—
47#16840435—21no—
48D4×Dic122C2211yescharacteristic
49Q8×C22⋊D61C2211yescharacteristic
50#16840419C2211yescharacteristic, complemented
51#16840418—21no—
52#16840400C2211yescharacteristic
53#16840399—21no—
54D4×C22⋊D61C2211yescharacteristic
55#16840385C2211yescharacteristic
56#16840381—21no—
57#16840381C2211yescharacteristic
58#16840381C2211yescharacteristic, complemented
59#16840379—21no—
60#16840379C2211yescharacteristic, complemented
61#16840349—21no—
62#16840347—21no—
63#16840314—21no—
64#16840314C2211yescharacteristic, complemented
65#16840307C2211yescharacteristic
66#16840292—21no—
67#16840292C2211yescharacteristic
68#16840289—21no—
69C2×#14519763—21no—
70#16840240C2211yescharacteristic, complemented
71#16840238C2211yescharacteristic, complemented
72#16840237C2211yescharacteristic
73#16840234C2211yescharacteristic
74#41×Dic61C2211yescharacteristic
75#41×Dic61C2211yescharacteristic, complemented
76#16840160C2211yescharacteristic, complemented
77#16840159C2211yescharacteristic, complemented
78#16840159C2211yescharacteristic, complemented
79#16840143C2211yescharacteristic, complemented
80#16840133C2211yescharacteristic
81#16840123C2211yescharacteristic, complemented
82#16840121C2211yescharacteristic, complemented
83#16840121C2211yescharacteristic, complemented
84#16840120C2211yescharacteristic, complemented
85#16840111C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic
87#16840104C2211yescharacteristic, complemented
88#16840104C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840102C2211yescharacteristic, complemented
91#16840100C2211yescharacteristic, complemented
92#16840100C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic
94#16840087C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic
96#16840084C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840083C2211yescharacteristic, complemented
99#16840058C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840052C2211yescharacteristic
103#16840050C2211yescharacteristic
104#16840050C2211yescharacteristic
105#16840047C2211yescharacteristic, complemented
106#16840045C2211yescharacteristic, complemented
107#16840045C2211yescharacteristic, complemented
108#16840043C2211yescharacteristic, complemented
109#16840040C2211yescharacteristic, complemented
110#16840040C2211yescharacteristic, complemented
111#16840018C2211yescharacteristic, complemented
112#16840017C2211yescharacteristic, complemented
113#16840013C2211yescharacteristic
114#16840012C2211yescharacteristic
115#16839993C2211yescharacteristic, complemented
116#16839991C2211yescharacteristic
117#16839991C2211yescharacteristic, complemented
118#16839989C2211yescharacteristic, complemented
119#16839988C2211yescharacteristic
120#16839988C2211yescharacteristic, complemented
121#16839986C2211yescharacteristic, complemented
122#16839986C2211yescharacteristic, complemented
123#16839981C2211yescharacteristic, complemented
124#16839975C2211yescharacteristic
125#16839975C2211yescharacteristic, complemented
126#16839974C2211yescharacteristic, complemented
127#16839970C2211yescharacteristic, complemented
128#16839965C2211yescharacteristic
129#16839960C2211yescharacteristic
130#16839955C2211yescharacteristic
131#16839924C2211yescharacteristic
132#16839916C2211yescharacteristic, complemented
133#16839913C2211yescharacteristic
134#16839911C2211yescharacteristic
135#16839907C2211yescharacteristic, complemented
136#16839901C2211yescharacteristic
137#16839899C2211yescharacteristic
138#16839894C2211yescharacteristic
139#16839891C2211yescharacteristic, complemented
140C8×Dic122C2211yescharacteristic, complemented
141#16839874C2211yescharacteristic, complemented
142#16839871C2211yescharacteristic, complemented
143#16839869C2211yescharacteristic, complemented
144#16839866C2211yescharacteristic, complemented
145#16839865C2211yescharacteristic, complemented
146#16839863C2211yescharacteristic
147#16839863C2211yescharacteristic
148#16839863C2211yescharacteristic, complemented
149#16839863C2211yescharacteristic, complemented
150#16839862C2211yescharacteristic
151#16839860C2211yescharacteristic, complemented
152#16839859C2211yescharacteristic
153Q16×Dic61C2211yescharacteristic, complemented
154Q16×Dic61C2211yescharacteristic, complemented
155#16839853C2211yescharacteristic, complemented
156C4×#11758190C2211yescharacteristic, complemented
157SD16×Dic61C2211yescharacteristic
158SD16×Dic61C2211yescharacteristic
159SD16×Dic61C2211yescharacteristic
160SD16×Dic61C2211yescharacteristic, complemented
161SD16×Dic61C2211yescharacteristic, complemented
162SD16×Dic61C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic, complemented
166D8×Dic61C2211yescharacteristic
167D8×Dic61C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic, complemented
170#16839830C2211yescharacteristic, complemented
171C8×C22⋊D61C2211yescharacteristic
172C8×C22⋊D61C2211yescharacteristic, complemented
173#16839822C2211yescharacteristic, complemented
174#16839820C2211yescharacteristic, complemented
175#16839816C2211yescharacteristic, complemented
176#16839800C2211yescharacteristic, complemented
177#16839800C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#16839771C2211yescharacteristic, complemented
180#16839769C2211yescharacteristic, complemented
181#16839767C2211yescharacteristic
182#16839765C2211yescharacteristic
183#16839758C2211yescharacteristic
184#16839758C2211yescharacteristic, complemented
185#16839717C2211yescharacteristic, complemented
186#16839716C2211yescharacteristic, complemented
187C2×C8×Dic61C2211yescharacteristic, complemented
188C2×#135×C61C2211yescharacteristic
189C22×SD16×C61C2211yescharacteristic
190C61×#548C2211yescharacteristic, complemented
191C61×#546C2211yescharacteristic
192C61×#495C2211yescharacteristic, complemented
193C61×#465C2211yescharacteristic, complemented
194C61×#465C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#451C2211yescharacteristic, complemented
199C61×#449C2211yescharacteristic, complemented
200C61×#447C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic
202C8×D4×C61C2211yescharacteristic, complemented
203C2×#11758224—21no—
204C22×Dic122—21no—
205C2×Q8×D61C2311yescharacteristic
206C22×C22⋊D61—21no—
207C2×D4×D61C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214SD16×D61—24no—
215C2×#11758199C2311yescharacteristic
216C2×#11758194C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777—21no—
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519775C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772D411yescharacteristic
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770D411yescharacteristic
246#14519767—21no—
247#14519767D411yescharacteristic
248#14519766C2311yescharacteristic
249#14519764—21no—
250#14519764—21no—
251#14519764—21no—
252#14519764—21no—
253#14519764—21no—
254#14519764C2311yescharacteristic
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763D411yescharacteristic
267#14519761—21no—
268#14519761—21no—
269#14519761—21no—
270#14519761D411yescharacteristic
271#14519760—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519758D411yescharacteristic
276#14519757—21no—
277#14519756—21no—
278#14519756—21no—
279#14519756—21no—
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754D411yescharacteristic
290#14519753—21no—
291#14519753C2311yescharacteristic
292#14519753C2311yescharacteristic
293#14519751C2311yescharacteristic
294#14519751C2311yescharacteristic
295#14519749—21no—
296#14519749—21no—
297#14519749—21no—
298#14519749—21no—
299#14519749—21no—
300#14519749D411yescharacteristic
301#14519748—21no—
302#14519748—21no—
303#14519748C2311yescharacteristic
304#14519748C2311yescharacteristic
305#14519746—21no—
306#14519745—21no—
307#14519745—21no—
308Q8×Dic61—21no—
309Q8×Dic61—21no—
310Q8×Dic61C2311yescharacteristic
311Q8×Dic61C2311yescharacteristic
312Q8×Dic61C2311yescharacteristic
313Q8×Dic61C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739C2311yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61C2311yescharacteristic
346C4×C22⋊D61C2311yescharacteristic
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519736—21no—
351#14519736—21no—
352#14519736—21no—
353#14519736—21no—
354#14519736C2311yescharacteristic
355#14519736C2311yescharacteristic
356#14519736C2311yescharacteristic
357#14519736C2311yescharacteristic
358#14519736C2311yescharacteristic
359#14519735—21no—
360#14519735—21no—
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519734—21no—
364#14519734C2311yescharacteristic
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368#14519733—21no—
369C2×C22⋊Dic61—21no—
370C2×C22⋊Dic61—21no—
371C2×#11758198—21no—
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C2×C4×Dic61—21no—
375C2×C4×Dic61—21no—
376C2×C4×Dic61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519701C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×#41×C61C2311yescharacteristic
437C2×#41×C61C2311yescharacteristic
438C22×Q8×C61C2311yescharacteristic
439C22×D4×C61C2311yescharacteristic
440#135×C61—24no—
441C2×Q16×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×SD16×C61—24no—
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C22×C8×C61C2311yescharacteristic
452C22×C8×C61C2311yescharacteristic
453#124×C61—21no—
454#124×C61C2311yescharacteristic
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61—21no—
462#121×C61C2311yescharacteristic
463#121×C61C2311yescharacteristic
464#120×C61—21no—
465C4×Q8×C61C2311yescharacteristic
466C4×D4×C61—21no—
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469C2×C22⋊C4×C61—21no—
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C24×C61—21no—
482C23×D61—21no—
483#41×C61—22no—
484#41×C61—22no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61—22no—
489C2×Q8×C61—41no—
490C2×Q8×C61C2411yescharacteristic
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—41no—
500C2×D4×C61C2×D411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61C2411yescharacteristic
509C22×C4×C61C2411yescharacteristic
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—82no—
518C2×C22⋊D61C2×D411yescharacteristic
519C2×C22⋊D61C2×D411yescharacteristic
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61C2×D411yescharacteristic
528C22×Dic61C2×D411yescharacteristic
529Q8×D61—22no—
530Q8×D61—41no—
531#11758224—82no—
532D4×D61—22no—
533D4×D61—41no—
534C2×D244C2411yescharacteristic
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—82no—
547C2×Dic122C2×D411yescharacteristic
548C2×Dic122C2411yescharacteristic
549Q16×C61—22no—
550Q16×C61—41no—
551SD16×C61—22no—
552SD16×C61—22no—
553SD16×C61—22no—
554SD16×C61—22no—
555SD16×C61#4114yescomplemented
556D8×C61—22no—
557D8×C61—41no—
558C2×C8×C61—22no—
559C2×C8×C61—22no—
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61C2×D411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61C2×D411yescharacteristic
580C22⋊C4×C61C2×D411yescharacteristic
581C42×C61—21no—
582C42×C61C2411yescharacteristic
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61C2×D411yescharacteristic
601C22⋊Dic61C2×D411yescharacteristic
602C22⋊Dic61C2×D411yescharacteristic
603C22⋊Dic61C2×D411yescharacteristic
604#11758202—41no—
605#11758201—22no—
606#11758201—41no—
607#11758200—22no—
608#11758200—41no—
609#11758199—41no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61C2×D411yescharacteristic
634C4⋊Dic61C2×D411yescharacteristic
635C4⋊Dic61C2×D411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
640C4⋊Dic61C2411yescharacteristic
641C4⋊Dic61C2411yescharacteristic
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61C2×D411yescharacteristic
676C4×Dic61C2×D411yescharacteristic
677C4×Dic61C2411yescharacteristic
678C4×Dic61C2411yescharacteristic
679C4×Dic61C2411yescharacteristic
680#11758194—41no—
681C2×#92418—41no—
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686#11758190—22no—
687#11758189—41no—
688C8×D61—22no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—42no—
693C23×C61—81no—
694C23×C61—81no—
695C23×C61C22×D411yescharacteristic
696C23×C61C22×D411yescharacteristic
697C22×D61—21no—
698C22×D61—42no—
699C22×D61—81no—
700C22×D61—81no—
701C22×D61C22×D411yescharacteristic
702Q8×C61—21no—
703Q8×C61—21no—
704Q8×C61—21no—
705Q8×C61—21no—
706Q8×C61—21no—
707Q8×C61—42no—
708Q8×C61C2×#4112yes—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—41no—
715D4×C61—42no—
716D4×C61—42no—
717D4×C61—42no—
718D4×C61—81no—
719D4×C61—81no—
720D4×C61C2×#4112yes—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—42no—
731C2×C4×C61—42no—
732C2×C4×C61—42no—
733C2×C4×C61—81no—
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C2511yescharacteristic
739C22⋊D61—22no—
740C22⋊D61—41no—
741C22⋊D61—42no—
742C22⋊D61—42no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C2×Dic61—22no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—41no—
757C2×Dic61—42no—
758C2×Dic61—42no—
759C2×Dic61—81no—
760C2×Dic61—81no—
761C2×Dic61—81no—
762C2×Dic61—81no—
763C2×Dic61—81no—
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771D244—21no—
772D244—21no—
773C4×D61—21no—
774C4×D61—21no—
775C4×D61—42no—
776C4×D61—81no—
777C4×D61—81no—
778Dic122—22no—
779Dic122—21no—
780Dic122—21no—
781Dic122—42no—
782Dic122—42no—
783Dic122—81no—
784Dic122—81no—
785Dic122—81no—
786Dic122—81no—
787Dic122—81no—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791C8×C61C2×#4112yes—
792#92418—21no—
793#92418—21no—
794#92418—21no—
795#92418—21no—
796#61474—611nomaximal, Sylow
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—22no—
800C22×C61—21no—
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—21no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—162no—
813C22×C61C23×D411yescharacteristic
814C2×D61—21no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—162no—
821C4×C61—21no—
822C4×C61—22no—
823C4×C61—21no—
824C4×C61—21no—
825C4×C61—21no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61C22×#4111yescharacteristic
831C4×C61#58511yescharacteristic
832Dic61—21no—
833Dic61—21no—
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61#57712yes—
846#3518—611no—
847#3514—611no—
848#3394—611no—
849Q8×SD16—611no—
850#3375—611no—
851#3367—611no—
852#3340—611no—
853#3340—611no—
854#3340—611no—
855#3328—611no—
856#3325—611no—
857#3321—611no—
858#3321—611no—
859#3311—611no—
860#3311—611no—
861#3282—611no—
862#3282D6111yescharacteristic, complemented
863D4×SD16—611no—
864#3173—611no—
865#3173—611no—
866#3167—611no—
867#3121—611no—
868#3121—611no—
869#3118—611no—
870#3118—611no—
871#3116—611no—
872#3115—611no—
873#2966—611no—
874#2949—611no—
875#2949—611no—
876C4×#135—611no—
877C2×C61—42no—
878C2×C61—41no—
879C2×C61—41no—
880C2×C61—81no—
881C2×C61—81no—
882C2×C61D4×#4111yescharacteristic
883C2×C61C2×#57711yescharacteristic
884C2×C61#358411yescharacteristic
885D61—41no—
886D61—81no—
887C2×#135C2×D6111yescharacteristic
888C22×SD16—611no—
889C22×SD16C2×D6111yescharacteristic
890#559—611no—
891Q82—611no—
892#556—611no—
893#556—611no—
894#556—611no—
895#556—611no—
896#556—1221no—
897#556—1221no—
898#556—1221no—
899#555—611no—
900#555—611no—
901#555—611no—
902#555—1221no—
903#551—1221no—
904#551—1221no—
905D4×Q8—611no—
906D4×Q8—611no—
907#548—611no—
908#548—1221no—
909#548C2×D6111yescharacteristic, complemented
910#546—611no—
911#546—1221no—
912#546C2×D6111yescharacteristic
913D42—611no—
914#542—611no—
915#542—611no—
916#542—611no—
917#542—611no—
918#542—1221no—
919#542—1221no—
920#538—1221no—
921#538—1221no—
922#533—611no—
923#533—1221no—
924#532—611no—
925#529—611no—
926#529—1221no—
927#529—1221no—
928C2×#124—1221no—
929#519—611no—
930#519—611no—
931#518—611no—
932#518—611no—
933C4×#41—611no—
934C4×#41—611no—
935#498—611no—
936#498—611no—
937#498—611no—
938#495—611no—
939#495C2×D6111yescharacteristic, complemented
940#492—611no—
941#489—611no—
942#489—611no—
943#489—611no—
944#489—611no—
945#487—611no—
946#486—611no—
947#485—611no—
948#485—611no—
949#485—611no—
950#485—611no—
951#485—611no—
952#485—611no—
953#482—611no—
954#482—611no—
955#482—611no—
956#482—611no—
957#482—611no—
958#482—611no—
959#477—611no—
960#477—611no—
961#477—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#475—611no—
966#475—611no—
967#475—611no—
968#474—611no—
969#474—611no—
970#474—611no—
971#470—611no—
972#470—611no—
973#469—611no—
974#469—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465—611no—
981#465C2×D6111yescharacteristic, complemented
982#465C2×D6111yescharacteristic, complemented
983#464—611no—
984#464—611no—
985#464—611no—
986#464C2×D6111yescharacteristic, complemented
987#463—611no—
988#463—611no—
989#463—611no—
990#463C2×D6111yescharacteristic
991#462—611no—
992#461—611no—
993#460—611no—
994#459—611no—
995#452—611no—
996#452C2×D6111yescharacteristic
997#451—611no—
998#451C2×D6111yescharacteristic, complemented
999#450—611no—
1000#450—611no—
1001#449—611no—
1002#449C2×D6111yescharacteristic, complemented
1003#448—611no—
1004#448—611no—
1005#447—611no—
1006#447C2×D6111yescharacteristic
1007#446—611no—
1008C8×Q8—611no—
1009#442—611no—
1010#442—611no—
1011#441—611no—
1012#441—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016#440—611no—
1017#440—611no—
1018#440—611no—
1019#440—611no—
1020#440—611no—
1021C4×Q16—611no—
1022C4×Q16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16—611no—
1027C4×SD16—611no—
1028C4×SD16—611no—
1029C4×SD16—611no—
1030C4×SD16—611no—
1031C4×SD16—611no—
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16C2×D6111yescharacteristic
1035C4×D8—611no—
1036C4×D8—611no—
1037#436—611no—
1038#435—611no—
1039#435—611no—
1040C8×D4—611no—
1041C8×D4—611no—
1042C8×D4C2×D6111yescharacteristic, complemented
1043#433—611no—
1044#433—611no—
1045#432—611no—
1046#427—611no—
1047#427—611no—
1048#427—611no—
1049#419—611no—
1050#419—611no—
1051#418—611no—
1052#418—611no—
1053#416—611no—
1054#416—611no—
1055#405—611no—
1056#405—611no—
1057C2×C4×C8—611no—
1058C61#6147411yescharacteristic, complemented, Sylow
1059C2×#41—1221no—
1060C2×#41C22×D6111yescharacteristic
1061C2×#41C22×D6111yescharacteristic
1062C22×Q8—611no—
1063C22×Q8—1221no—
1064C22×Q8C22×D6111yescharacteristic
1065C22×D4—611no—
1066C22×D4—1221no—
1067C22×D4C22×D6111yescharacteristic
1068#135—24no—
1069C2×Q16—611no—
1070C2×Q16C22×D6111yescharacteristic
1071C2×Q16C22×D6111yescharacteristic
1072C2×SD16—24no—
1073C2×SD16—611no—
1074C2×SD16—611no—
1075C2×SD16—611no—
1076C2×SD16—611no—
1077C2×SD16—611no—
1078C2×SD16—1224no—
1079C2×SD16C22×D6111yescharacteristic
1080C2×SD16C22×D6111yescharacteristic
1081C2×SD16C22×D6111yescharacteristic
1082C2×SD16C22×D6111yescharacteristic
1083C2×SD16C22×D6111yescharacteristic
1084C2×D8—611no—
1085C2×D8C22×D6111yescharacteristic
1086C2×D8C22×D6111yescharacteristic
1087C2×M16—611no—
1088C2×M16—611no—
1089C22×C8—611no—
1090C22×C8—611no—
1091C22×C8C22×D6111yescharacteristic
1092C22×C8C22×D6111yescharacteristic
1093C4⋊Q8—611no—
1094C4⋊Q8—611no—
1095C4⋊Q8—611no—
1096C4⋊Q8—611no—
1097C4⋊Q8—611no—
1098C4⋊Q8—611no—
1099C4⋊Q8—611no—
1100C4⋊Q8—1221no—
1101C4⋊Q8—1221no—
1102C4⋊Q8—1221no—
1103C4⋊Q8—1221no—
1104#127—611no—
1105#126—611no—
1106#126—611no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#126—1221no—
1111#126—1221no—
1112#126—1221no—
1113#126—1221no—
1114#126—1221no—
1115#126—1221no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#125—611no—
1120#125—1221no—
1121#124—21no—
1122#124—611no—
1123#124—611no—
1124#124—611no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#124—1221no—
1129#124—1221no—
1130#124—1221no—
1131#124—1221no—
1132#124—1221no—
1133#124—1221no—
1134#124—1221no—
1135#124—1221no—
1136#124—1221no—
1137#124—1221no—
1138#124—1221no—
1139#124—1221no—
1140#124—1221no—
1141#124C22×D6111yescharacteristic
1142#124C22×D6111yescharacteristic
1143#123—21no—
1144#123—611no—
1145#123—611no—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153C22⋊Q8—21no—
1154C22⋊Q8—611no—
1155C22⋊Q8—611no—
1156C22⋊Q8—611no—
1157C22⋊Q8—611no—
1158C22⋊Q8—611no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8—1221no—
1169C22⋊Q8—1221no—
1170C22⋊Q8—1221no—
1171C22⋊Q8C22×D6111yescharacteristic
1172C22⋊Q8C22×D6111yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—611no—
1176#121—611no—
1177#121—611no—
1178#121—611no—
1179#121—611no—
1180#121—1221no—
1181#121—1221no—
1182#121—1221no—
1183#121—1221no—
1184#121—1221no—
1185#121—1221no—
1186#121—1221no—
1187#121C22×D6111yescharacteristic
1188#121C22×D6111yescharacteristic
1189#120—21no—
1190#120—1221no—
1191#120—1221no—
1192#120—1221no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—611no—
1198C4×Q8—611no—
1199C4×Q8—611no—
1200C4×Q8—611no—
1201C4×Q8—611no—
1202C4×Q8—611no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8—1221no—
1206C4×Q8—1221no—
1207C4×Q8—1221no—
1208C4×Q8—1221no—
1209C4×Q8—1221no—
1210C4×Q8—1221no—
1211C4×Q8—1221no—
1212C4×Q8C22×D6111yescharacteristic
1213C4×D4—21no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—611no—
1218C4×D4—611no—
1219C4×D4—611no—
1220C4×D4—611no—
1221C4×D4—611no—
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4C22×D6111yescharacteristic
1238C4×D4C22×D6111yescharacteristic
1239#117—611no—
1240#117—611no—
1241#117—611no—
1242#117—611no—
1243#117—611no—
1244#117—611no—
1245#117—611no—
1246#117—611no—
1247#117—1221no—
1248#117—1221no—
1249#117—1221no—
1250#117—1221no—
1251#117—1221no—
1252#117—1221no—
1253#117—1221no—
1254#117—1221no—
1255#117—1221no—
1256#117—1221no—
1257#117—1221no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—1221no—
1260C2×C22⋊C4—1221no—
1261C2×C22⋊C4—1221no—
1262C2×C22⋊C4—1221no—
1263C2×C22⋊C4—1221no—
1264C2×C42—611no—
1265C2×C42—1221no—
1266C2×C42—1221no—
1267#107—611no—
1268#107—611no—
1269#107—611no—
1270#107—611no—
1271#107—611no—
1272#107—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106—611no—
1280#106—611no—
1281#106—611no—
1282#106C22×D6111yescharacteristic
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8C22×D6111yescharacteristic
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103—611no—
1302#103C22×D6111yescharacteristic
1303#103C22×D6111yescharacteristic
1304#103C22×D6111yescharacteristic
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102C22×D6111yescharacteristic
1319#102C22×D6111yescharacteristic
1320#102C22×D6111yescharacteristic
1321C22⋊C8—611no—
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8C22×D6111yescharacteristic
1326C22⋊C8C22×D6111yescharacteristic
1327#97—611no—
1328#97—611no—
1329#97—611no—
1330#97—611no—
1331C4×C8—611no—
1332C4×C8—611no—
1333C4×C8—611no—
1334C4×C8—611no—
1335C4×C8—611no—
1336C4×C8C22×D6111yescharacteristic
1337C24—21no—
1338C24—1221no—
1339#41—22no—
1340#41—22no—
1341#41—41no—
1342#41—41no—
1343#41—4882no—
1344C2×Q8—21no—
1345C2×Q8—22no—
1346C2×Q8—41no—
1347C2×Q8—611no—
1348C2×Q8—611no—
1349C2×Q8—1221no—
1350C2×Q8—1221no—
1351C2×Q8—1221no—
1352C2×Q8—1221no—
1353C2×Q8—1221no—
1354C2×Q8—1221no—
1355C2×Q8—1221no—
1356C2×Q8—1222no—
1357C2×Q8—4882no—
1358C2×Q8—2441no—
1359C2×Q8C23×D6111yescharacteristic
1360C2×Q8C23×D6111yescharacteristic
1361C2×Q8C23×D6111yescharacteristic
1362C2×D4—22no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—41no—
1369C2×D4—611no—
1370C2×D4—611no—
1371C2×D4—611no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4—1222no—
1376C2×D4—1221no—
1377C2×D4—1221no—
1378C2×D4—1221no—
1379C2×D4—1221no—
1380C2×D4—4882no—
1381C2×D4—2441no—
1382C2×D4D4×D6111yescharacteristic
1383C2×D4C23×D6111yescharacteristic
1384C2×D4C23×D6111yescharacteristic
1385C2×D4C23×D6111yescharacteristic
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—2441no—
1408SD16—22no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—1222no—
1413SD16—1222no—
1414SD16—1222no—
1415SD16—2441no—
1416SD16—2441no—
1417SD16#1175822414yescomplemented
1418D8—22no—
1419D8—41no—
1420D8—2441no—
1421M16—2441no—
1422M16—2441no—
1423C2×C8—22no—
1424C2×C8—22no—
1425C2×C8—611no—
1426C2×C8—611no—
1427C2×C8—611no—
1428C2×C8—611no—
1429C2×C8—1222no—
1430C2×C8—2441no—
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C2×C8C23×D6111yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—611no—
1450C4⋊C4—611no—
1451C4⋊C4—611no—
1452C4⋊C4—611no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4D4×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C4⋊C4C23×D6111yescharacteristic
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—611no—
1492C22⋊C4—611no—
1493C22⋊C4—611no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4D4×D6111yescharacteristic
1522C22⋊C4D4×D6111yescharacteristic
1523C42—21no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—611no—
1528C42—611no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42—1221no—
1535C42—1221no—
1536C42—1221no—
1537C42—1221no—
1538C42—1221no—
1539C42—1221no—
1540C42—1221no—
1541C42—1221no—
1542C42—1221no—
1543C42—1221no—
1544C42C23×D6111yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—81no—
1550C23—81no—
1551C23—611no—
1552C23—1221no—
1553C23—4881no—
1554C23—4881no—
1555C23—2442no—
1556C23C2×D4×D6111yescharacteristic
1557C23C2×D4×D6111yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—42no—
1564Q8—1222no—
1565Q8—1221no—
1566Q8—1221no—
1567Q8—4881no—
1568Q8—4881no—
1569Q8—4881no—
1570Q8—4881no—
1571Q8—4881no—
1572Q8—2442no—
1573Q8—2442no—
1574Q8C2×#1175822412yes—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—41no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—81no—
1585D4—81no—
1586D4—1222no—
1587D4—1221no—
1588D4—1221no—
1589D4—4881no—
1590D4—4881no—
1591D4—4881no—
1592D4—4881no—
1593D4—4881no—
1594D4—2442no—
1595D4—2441no—
1596D4—2442no—
1597D4C2×#1175822412yes—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—611no—
1612C2×C4—611no—
1613C2×C4—611no—
1614C2×C4—611no—
1615C2×C4—611no—
1616C2×C4—611no—
1617C2×C4—611no—
1618C2×C4—1222no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—4881no—
1629C2×C4—4881no—
1630C2×C4—4881no—
1631C2×C4—4881no—
1632C2×C4—4881no—
1633C2×C4—4881no—
1634C2×C4—4881no—
1635C2×C4—2442no—
1636C2×C4—2442no—
1637C2×C4—2442no—
1638C2×C4—2441no—
1639C2×C4C2×D4×D6111yescharacteristic
1640C2×C4C2×D4×D6111yescharacteristic
1641C2×C4C2×D4×D6111yescharacteristic
1642C2×C4C2×D4×D6111yescharacteristic
1643C2×C4C24×D6111yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1221no—
1648C8—1221no—
1649C8—1221no—
1650C8—1221no—
1651C8C2×#1175822412yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—22no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—162no—
1668C22—1221no—
1669C22—1221no—
1670C22—1221no—
1671C22—9762no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22C22×D4×D6111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—22no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—612no—
1686C4—1221no—
1687C4—1221no—
1688C4—1221no—
1689C4—1221no—
1690C4—1221no—
1691C4—1221no—
1692C4—2441no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C4—2441no—
1699C4C22×#1175822411yescharacteristic
1700C4#1684059711yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—81no—
1706C2—4881no—
1707C2—2441no—
1708C2D4×#1175822411yescharacteristic
1709C2#577×D6111yescharacteristic
1710C2#2146058811yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3282C2
socleC22×C61C23×D4
hypercenter#3282D61
hypocenterC61#61474
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #21459827C2semidirect
2. #21459767C2semidirect
3. #21458812C2semidirect
4. SD16×Dic122C2semidirect
5. #21458628C2semidirect
6. #21458532C2semidirect
7. #21458233C2semidirect
8. #21458227C2semidirect
9. #21458227C2semidirect
10. #21458095C2semidirect
11. #21458054C2semidirect
12. #21458009C2semidirect
13. #21458005C2semidirect
14. #21457859C2semidirect
15. #21457855C2semidirect
16. #21457520C2semidirect
17. SD16×C22⋊D61C2semidirect
18. #21456433C2semidirect
19. #21456429C2semidirect
20. #21456373C2semidirect
21. #21456049C2semidirect
22. #21456047C2semidirect
23. #21456000C2semidirect
24. #21455996C2semidirect
25. #21455974C2semidirect
26. #21455963C2semidirect
27. #21454787C2semidirect
28. #21454679C2semidirect
29. #21454673C2semidirect
30. #135×Dic61C2semidirect
31. C61×#3282C2semidirect
34. Q8×Dic122C22semidirect
37. #16840483C22semidirect
39. #16840482C22semidirect
41. #16840481C22semidirect
50. #16840419C22semidirect
58. #16840381C22semidirect
60. #16840379C22semidirect
64. #16840314C22semidirect
70. #16840240C22semidirect
71. #16840238C22semidirect
75. #41×Dic61C22semidirect
76. #16840160C22semidirect
77. #16840159C22semidirect
78. #16840159C22semidirect
79. #16840143C22semidirect
81. #16840123C22semidirect
82. #16840121C22semidirect
83. #16840121C22semidirect
84. #16840120C22semidirect
85. #16840111C22semidirect
87. #16840104C22semidirect
88. #16840104C22semidirect
89. #16840102C22semidirect
90. #16840102C22semidirect
91. #16840100C22semidirect
92. #16840100C22semidirect
94. #16840087C22semidirect
96. #16840084C22semidirect
97. #16840083C22semidirect
98. #16840083C22semidirect
99. #16840058C22semidirect
100. #16840055C22semidirect
101. #16840055C22semidirect
105. #16840047C22semidirect
106. #16840045C22semidirect
107. #16840045C22semidirect
108. #16840043C22semidirect
109. #16840040C22semidirect
110. #16840040C22semidirect
111. #16840018C22semidirect
112. #16840017C22semidirect
115. #16839993C22semidirect
117. #16839991C22semidirect
118. #16839989C22semidirect
120. #16839988C22semidirect
121. #16839986C22semidirect
122. #16839986C22semidirect
123. #16839981C22semidirect
125. #16839975C22semidirect
126. #16839974C22semidirect
127. #16839970C22semidirect
132. #16839916C22semidirect
135. #16839907C22semidirect
139. #16839891C22semidirect
140. C8×Dic122C22semidirect
141. #16839874C22semidirect
142. #16839871C22semidirect
143. #16839869C22semidirect
144. #16839866C22semidirect
145. #16839865C22semidirect
148. #16839863C22semidirect
149. #16839863C22semidirect
151. #16839860C22semidirect
153. Q16×Dic61C22semidirect
154. Q16×Dic61C22semidirect
155. #16839853C22semidirect
156. C4×#11758190C22semidirect
160. SD16×Dic61C22semidirect
161. SD16×Dic61C22semidirect
162. SD16×Dic61C22semidirect
163. SD16×Dic61C22semidirect
164. #16839849C22semidirect
165. #16839847C22semidirect
169. #16839834C22semidirect
170. #16839830C22semidirect
172. C8×C22⋊D61C22semidirect
173. #16839822C22semidirect
174. #16839820C22semidirect
175. #16839816C22semidirect
176. #16839800C22semidirect
177. #16839800C22semidirect
178. #16839797C22semidirect
179. #16839771C22semidirect
180. #16839769C22semidirect
184. #16839758C22semidirect
185. #16839717C22semidirect
186. #16839716C22semidirect
187. C2×C8×Dic61C22semidirect
190. C61×#548C22semidirect
192. C61×#495C22semidirect
193. C61×#465C22semidirect
194. C61×#465C22semidirect
195. C61×#464C22semidirect
198. C61×#451C22semidirect
199. C61×#449C22semidirect
202. C8×D4×C61C22semidirect
555. SD16×C61#41semidirect
862. #3282D61semidirect
909. #548C2×D61semidirect
939. #495C2×D61semidirect
981. #465C2×D61semidirect
982. #465C2×D61semidirect
986. #464C2×D61semidirect
998. #451C2×D61semidirect
1002. #449C2×D61semidirect
1042. C8×D4C2×D61semidirect
1058. C61#61474semidirect
1417. SD16#11758224semidirect

Maximal subgroups

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

subgroupindex
#214598272
#214597672
#214588122
SD16×Dic1222
#214586282
#214585322
#214582332
#214582272
#214580952
#214580542
#214580092
#214580052
#214578592
#214578552
#214575202
SD16×C22⋊D612
#214564332
#214564292
#214563732
#214560492
#214560472
#214560002
#214559962
#214559742
#214559632
#214547872
#214546792
#214546732
#135×Dic612
C61×#32822
#6147461